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Finding the Fourth Proportional to 77,400.52, 106,813.92 and 43,416.55

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Solution

The fourth proportional to 77,400.52, 106,813.92 and 43,416.55 is: 59,915.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,400.52 : 106,813.92 = 43,416.55 : x
  2. Step 2: Convert to fraction form
    77,400.52/106,813.92 = 43,416.55/x
  3. Step 3: Cross multiply
    77,400.52x = 106,813.92 × 43,416.55
  4. Step 4: Simplify right side
    77,400.52x = 4,637,491,898.38
  5. Step 5: Solve for x
    x = 4,637,491,898.38/77,400.52
  6. Step 6: Final answer
    x = 59,915.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.