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Finding the Fourth Proportional to 71,810.20, 107,720.10 and 24,424.60

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Solution

The fourth proportional to 71,810.20, 107,720.10 and 24,424.60 is: 36,638.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,810.20 : 107,720.10 = 24,424.60 : x
  2. Step 2: Convert to fraction form
    71,810.20/107,720.10 = 24,424.60/x
  3. Step 3: Cross multiply
    71,810.20x = 107,720.10 × 24,424.60
  4. Step 4: Simplify right side
    71,810.20x = 2,631,020,354.46
  5. Step 5: Solve for x
    x = 2,631,020,354.46/71,810.20
  6. Step 6: Final answer
    x = 36,638.53

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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.