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Finding the Fourth Proportional to 31,731.44, 47,599.52 and 9,543.04

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Solution

The fourth proportional to 31,731.44, 47,599.52 and 9,543.04 is: 14,315.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,731.44 : 47,599.52 = 9,543.04 : x
  2. Step 2: Convert to fraction form
    31,731.44/47,599.52 = 9,543.04/x
  3. Step 3: Cross multiply
    31,731.44x = 47,599.52 × 9,543.04
  4. Step 4: Simplify right side
    31,731.44x = 454,244,123.34
  5. Step 5: Solve for x
    x = 454,244,123.34/31,731.44
  6. Step 6: Final answer
    x = 14,315.27

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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.