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Finding the Fourth Proportional to 31,508.18, 47,248.43 and 9,323.28

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Solution

The fourth proportional to 31,508.18, 47,248.43 and 9,323.28 is: 13,980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,508.18 : 47,248.43 = 9,323.28 : x
  2. Step 2: Convert to fraction form
    31,508.18/47,248.43 = 9,323.28/x
  3. Step 3: Cross multiply
    31,508.18x = 47,248.43 × 9,323.28
  4. Step 4: Simplify right side
    31,508.18x = 440,510,475.05
  5. Step 5: Solve for x
    x = 440,510,475.05/31,508.18
  6. Step 6: Final answer
    x = 13,980.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.