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Finding the Fourth Proportional to 71,044.24, 106,490.58 and 53,459.68

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Solution

The fourth proportional to 71,044.24, 106,490.58 and 53,459.68 is: 80,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,044.24 : 106,490.58 = 53,459.68 : x
  2. Step 2: Convert to fraction form
    71,044.24/106,490.58 = 53,459.68/x
  3. Step 3: Cross multiply
    71,044.24x = 106,490.58 × 53,459.68
  4. Step 4: Simplify right side
    71,044.24x = 5,692,952,329.81
  5. Step 5: Solve for x
    x = 5,692,952,329.81/71,044.24
  6. Step 6: Final answer
    x = 80,132.50

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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.