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Finding the Fourth Proportional to 86,781.48, 130,247.10 and 42,441

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Solution

The fourth proportional to 86,781.48, 130,247.10 and 42,441 is: 63,698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,781.48 : 130,247.10 = 42,441 : x
  2. Step 2: Convert to fraction form
    86,781.48/130,247.10 = 42,441/x
  3. Step 3: Cross multiply
    86,781.48x = 130,247.10 × 42,441
  4. Step 4: Simplify right side
    86,781.48x = 5,527,817,171.10
  5. Step 5: Solve for x
    x = 5,527,817,171.10/86,781.48
  6. Step 6: Final answer
    x = 63,698.12

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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.