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Finding the Fourth Proportional to 32,527.72, 48,781.90 and 13,807.48

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Solution

The fourth proportional to 32,527.72, 48,781.90 and 13,807.48 is: 20,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,527.72 : 48,781.90 = 13,807.48 : x
  2. Step 2: Convert to fraction form
    32,527.72/48,781.90 = 13,807.48/x
  3. Step 3: Cross multiply
    32,527.72x = 48,781.90 × 13,807.48
  4. Step 4: Simplify right side
    32,527.72x = 673,555,108.61
  5. Step 5: Solve for x
    x = 673,555,108.61/32,527.72
  6. Step 6: Final answer
    x = 20,707.11

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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.