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Finding the Fourth Proportional to 87,284.64, 130,926.96 and 40,512

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Solution

The fourth proportional to 87,284.64, 130,926.96 and 40,512 is: 60,768.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,284.64 : 130,926.96 = 40,512 : x
  2. Step 2: Convert to fraction form
    87,284.64/130,926.96 = 40,512/x
  3. Step 3: Cross multiply
    87,284.64x = 130,926.96 × 40,512
  4. Step 4: Simplify right side
    87,284.64x = 5,304,113,003.52
  5. Step 5: Solve for x
    x = 5,304,113,003.52/87,284.64
  6. Step 6: Final answer
    x = 60,768.00

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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.