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Finding the Fourth Proportional to 86,678.64, 129,945 and 42,282.48

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Solution

The fourth proportional to 86,678.64, 129,945 and 42,282.48 is: 63,388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,678.64 : 129,945 = 42,282.48 : x
  2. Step 2: Convert to fraction form
    86,678.64/129,945 = 42,282.48/x
  3. Step 3: Cross multiply
    86,678.64x = 129,945 × 42,282.48
  4. Step 4: Simplify right side
    86,678.64x = 5,494,396,863.60
  5. Step 5: Solve for x
    x = 5,494,396,863.60/86,678.64
  6. Step 6: Final answer
    x = 63,388.13

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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.