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Finding the Fourth Proportional to 86,781.72, 130,177.62 and 24,447

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Solution

The fourth proportional to 86,781.72, 130,177.62 and 24,447 is: 36,671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,781.72 : 130,177.62 = 24,447 : x
  2. Step 2: Convert to fraction form
    86,781.72/130,177.62 = 24,447/x
  3. Step 3: Cross multiply
    86,781.72x = 130,177.62 × 24,447
  4. Step 4: Simplify right side
    86,781.72x = 3,182,452,276.14
  5. Step 5: Solve for x
    x = 3,182,452,276.14/86,781.72
  6. Step 6: Final answer
    x = 36,671.92

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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.