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Finding the Fourth Proportional to 31,916.34, 47,859.66 and 9,732.06

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Solution

The fourth proportional to 31,916.34, 47,859.66 and 9,732.06 is: 14,593.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,916.34 : 47,859.66 = 9,732.06 : x
  2. Step 2: Convert to fraction form
    31,916.34/47,859.66 = 9,732.06/x
  3. Step 3: Cross multiply
    31,916.34x = 47,859.66 × 9,732.06
  4. Step 4: Simplify right side
    31,916.34x = 465,773,082.70
  5. Step 5: Solve for x
    x = 465,773,082.70/31,916.34
  6. Step 6: Final answer
    x = 14,593.56

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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.