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Finding the Fourth Proportional to 31,800.60, 47,701.34 and 9,614.16

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Solution

The fourth proportional to 31,800.60, 47,701.34 and 9,614.16 is: 14,421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,800.60 : 47,701.34 = 9,614.16 : x
  2. Step 2: Convert to fraction form
    31,800.60/47,701.34 = 9,614.16/x
  3. Step 3: Cross multiply
    31,800.60x = 47,701.34 × 9,614.16
  4. Step 4: Simplify right side
    31,800.60x = 458,608,314.97
  5. Step 5: Solve for x
    x = 458,608,314.97/31,800.60
  6. Step 6: Final answer
    x = 14,421.37

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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.