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Finding the Fourth Proportional to 55,637.68, 76,781.92 and 30,487.20

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Solution

The fourth proportional to 55,637.68, 76,781.92 and 30,487.20 is: 42,073.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,637.68 : 76,781.92 = 30,487.20 : x
  2. Step 2: Convert to fraction form
    55,637.68/76,781.92 = 30,487.20/x
  3. Step 3: Cross multiply
    55,637.68x = 76,781.92 × 30,487.20
  4. Step 4: Simplify right side
    55,637.68x = 2,340,865,751.42
  5. Step 5: Solve for x
    x = 2,340,865,751.42/55,637.68
  6. Step 6: Final answer
    x = 42,073.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.