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Finding the Fourth Proportional to 31,816.48, 47,652.04 and 15,188.20

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Solution

The fourth proportional to 31,816.48, 47,652.04 and 15,188.20 is: 22,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,816.48 : 47,652.04 = 15,188.20 : x
  2. Step 2: Convert to fraction form
    31,816.48/47,652.04 = 15,188.20/x
  3. Step 3: Cross multiply
    31,816.48x = 47,652.04 × 15,188.20
  4. Step 4: Simplify right side
    31,816.48x = 723,748,713.93
  5. Step 5: Solve for x
    x = 723,748,713.93/31,816.48
  6. Step 6: Final answer
    x = 22,747.60

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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.