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Finding the Fourth Proportional to 71,892,546.80, 107,838,820.20 and 47,706,076.40

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Solution

The fourth proportional to 71,892,546.80, 107,838,820.20 and 47,706,076.40 is: 71,559,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,892,546.80 : 107,838,820.20 = 47,706,076.40 : x
  2. Step 2: Convert to fraction form
    71,892,546.80/107,838,820.20 = 47,706,076.40/x
  3. Step 3: Cross multiply
    71,892,546.80x = 107,838,820.20 × 47,706,076.40
  4. Step 4: Simplify right side
    71,892,546.80x = 5,144,566,995,347,063
  5. Step 5: Solve for x
    x = 5,144,566,995,347,063/71,892,546.80
  6. Step 6: Final answer
    x = 71,559,114.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.