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Finding the Fourth Proportional to 87,023.32, 130,533.30 and 27,859

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Solution

The fourth proportional to 87,023.32, 130,533.30 and 27,859 is: 41,787.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,023.32 : 130,533.30 = 27,859 : x
  2. Step 2: Convert to fraction form
    87,023.32/130,533.30 = 27,859/x
  3. Step 3: Cross multiply
    87,023.32x = 130,533.30 × 27,859
  4. Step 4: Simplify right side
    87,023.32x = 3,636,527,204.70
  5. Step 5: Solve for x
    x = 3,636,527,204.70/87,023.32
  6. Step 6: Final answer
    x = 41,787.96

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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.