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Finding the Fourth Proportional to 71,766.93, 107,628.49 and 57,693.58

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Solution

The fourth proportional to 71,766.93, 107,628.49 and 57,693.58 is: 86,522.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,766.93 : 107,628.49 = 57,693.58 : x
  2. Step 2: Convert to fraction form
    71,766.93/107,628.49 = 57,693.58/x
  3. Step 3: Cross multiply
    71,766.93x = 107,628.49 × 57,693.58
  4. Step 4: Simplify right side
    71,766.93x = 6,209,472,898.09
  5. Step 5: Solve for x
    x = 6,209,472,898.09/71,766.93
  6. Step 6: Final answer
    x = 86,522.76

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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.