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Finding the Fourth Proportional to 32,502.14, 48,743.54 and 13,781.90

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Solution

The fourth proportional to 32,502.14, 48,743.54 and 13,781.90 is: 20,668.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,502.14 : 48,743.54 = 13,781.90 : x
  2. Step 2: Convert to fraction form
    32,502.14/48,743.54 = 13,781.90/x
  3. Step 3: Cross multiply
    32,502.14x = 48,743.54 × 13,781.90
  4. Step 4: Simplify right side
    32,502.14x = 671,778,593.93
  5. Step 5: Solve for x
    x = 671,778,593.93/32,502.14
  6. Step 6: Final answer
    x = 20,668.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.