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Finding the Fourth Proportional to 34,732.71, 52,092.02 and 9,773.91

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Solution

The fourth proportional to 34,732.71, 52,092.02 and 9,773.91 is: 14,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,732.71 : 52,092.02 = 9,773.91 : x
  2. Step 2: Convert to fraction form
    34,732.71/52,092.02 = 9,773.91/x
  3. Step 3: Cross multiply
    34,732.71x = 52,092.02 × 9,773.91
  4. Step 4: Simplify right side
    34,732.71x = 509,142,739.63
  5. Step 5: Solve for x
    x = 509,142,739.63/34,732.71
  6. Step 6: Final answer
    x = 14,658.88

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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.