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Finding the Fourth Proportional to 31,550.84, 47,318.16 and 9,359.18

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Solution

The fourth proportional to 31,550.84, 47,318.16 and 9,359.18 is: 14,036.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,550.84 : 47,318.16 = 9,359.18 : x
  2. Step 2: Convert to fraction form
    31,550.84/47,318.16 = 9,359.18/x
  3. Step 3: Cross multiply
    31,550.84x = 47,318.16 × 9,359.18
  4. Step 4: Simplify right side
    31,550.84x = 442,859,176.71
  5. Step 5: Solve for x
    x = 442,859,176.71/31,550.84
  6. Step 6: Final answer
    x = 14,036.37

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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.