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Finding the Fourth Proportional to 77,043.20, 115,564.80 and 37,625.60

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Solution

The fourth proportional to 77,043.20, 115,564.80 and 37,625.60 is: 56,438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,043.20 : 115,564.80 = 37,625.60 : x
  2. Step 2: Convert to fraction form
    77,043.20/115,564.80 = 37,625.60/x
  3. Step 3: Cross multiply
    77,043.20x = 115,564.80 × 37,625.60
  4. Step 4: Simplify right side
    77,043.20x = 4,348,194,938.88
  5. Step 5: Solve for x
    x = 4,348,194,938.88/77,043.20
  6. Step 6: Final answer
    x = 56,438.40

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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.