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Finding the Fourth Proportional to 71,152.94, 106,784.46 and 26,820.02

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Solution

The fourth proportional to 71,152.94, 106,784.46 and 26,820.02 is: 40,250.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,152.94 : 106,784.46 = 26,820.02 : x
  2. Step 2: Convert to fraction form
    71,152.94/106,784.46 = 26,820.02/x
  3. Step 3: Cross multiply
    71,152.94x = 106,784.46 × 26,820.02
  4. Step 4: Simplify right side
    71,152.94x = 2,863,961,352.89
  5. Step 5: Solve for x
    x = 2,863,961,352.89/71,152.94
  6. Step 6: Final answer
    x = 40,250.78

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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.