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Finding the Fourth Proportional to 31,470.23, 47,189.07 and 9,280.79

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Solution

The fourth proportional to 31,470.23, 47,189.07 and 9,280.79 is: 13,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,470.23 : 47,189.07 = 9,280.79 : x
  2. Step 2: Convert to fraction form
    31,470.23/47,189.07 = 9,280.79/x
  3. Step 3: Cross multiply
    31,470.23x = 47,189.07 × 9,280.79
  4. Step 4: Simplify right side
    31,470.23x = 437,951,613.02
  5. Step 5: Solve for x
    x = 437,951,613.02/31,470.23
  6. Step 6: Final answer
    x = 13,916.38

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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.