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Finding the Fourth Proportional to 39,293.82, 58,940.78 and 9,711.20

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Solution

The fourth proportional to 39,293.82, 58,940.78 and 9,711.20 is: 14,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,293.82 : 58,940.78 = 9,711.20 : x
  2. Step 2: Convert to fraction form
    39,293.82/58,940.78 = 9,711.20/x
  3. Step 3: Cross multiply
    39,293.82x = 58,940.78 × 9,711.20
  4. Step 4: Simplify right side
    39,293.82x = 572,385,801.53
  5. Step 5: Solve for x
    x = 572,385,801.53/39,293.82
  6. Step 6: Final answer
    x = 14,566.81

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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.