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Finding the Fourth Proportional to 91,757.70, 137,414.31 and 46,660.41

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Solution

The fourth proportional to 91,757.70, 137,414.31 and 46,660.41 is: 69,877.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,757.70 : 137,414.31 = 46,660.41 : x
  2. Step 2: Convert to fraction form
    91,757.70/137,414.31 = 46,660.41/x
  3. Step 3: Cross multiply
    91,757.70x = 137,414.31 × 46,660.41
  4. Step 4: Simplify right side
    91,757.70x = 6,411,808,044.47
  5. Step 5: Solve for x
    x = 6,411,808,044.47/91,757.70
  6. Step 6: Final answer
    x = 69,877.60

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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.