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Finding the Fourth Proportional to 86,578.76, 129,881.84 and 36,659.16

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Solution

The fourth proportional to 86,578.76, 129,881.84 and 36,659.16 is: 54,994.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,578.76 : 129,881.84 = 36,659.16 : x
  2. Step 2: Convert to fraction form
    86,578.76/129,881.84 = 36,659.16/x
  3. Step 3: Cross multiply
    86,578.76x = 129,881.84 × 36,659.16
  4. Step 4: Simplify right side
    86,578.76x = 4,761,359,153.65
  5. Step 5: Solve for x
    x = 4,761,359,153.65/86,578.76
  6. Step 6: Final answer
    x = 54,994.54

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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.