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Finding the Fourth Proportional to 87,376.80, 130,870.80 and 71,824.80

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Solution

The fourth proportional to 87,376.80, 130,870.80 and 71,824.80 is: 107,577.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,376.80 : 130,870.80 = 71,824.80 : x
  2. Step 2: Convert to fraction form
    87,376.80/130,870.80 = 71,824.80/x
  3. Step 3: Cross multiply
    87,376.80x = 130,870.80 × 71,824.80
  4. Step 4: Simplify right side
    87,376.80x = 9,399,769,035.84
  5. Step 5: Solve for x
    x = 9,399,769,035.84/87,376.80
  6. Step 6: Final answer
    x = 107,577.40

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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.