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Finding the Fourth Proportional to 86,671.68, 129,978.24 and 24,327.36

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Solution

The fourth proportional to 86,671.68, 129,978.24 and 24,327.36 is: 36,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,671.68 : 129,978.24 = 24,327.36 : x
  2. Step 2: Convert to fraction form
    86,671.68/129,978.24 = 24,327.36/x
  3. Step 3: Cross multiply
    86,671.68x = 129,978.24 × 24,327.36
  4. Step 4: Simplify right side
    86,671.68x = 3,162,027,436.65
  5. Step 5: Solve for x
    x = 3,162,027,436.65/86,671.68
  6. Step 6: Final answer
    x = 36,482.82

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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.