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Finding the Fourth Proportional to 31,362.30, 47,038.68 and 9,169.74

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Solution

The fourth proportional to 31,362.30, 47,038.68 and 9,169.74 is: 13,753.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,362.30 : 47,038.68 = 9,169.74 : x
  2. Step 2: Convert to fraction form
    31,362.30/47,038.68 = 9,169.74/x
  3. Step 3: Cross multiply
    31,362.30x = 47,038.68 × 9,169.74
  4. Step 4: Simplify right side
    31,362.30x = 431,332,465.54
  5. Step 5: Solve for x
    x = 431,332,465.54/31,362.30
  6. Step 6: Final answer
    x = 13,753.22

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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.