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Finding the Fourth Proportional to 86,432, 129,669.88 and 24,102.50

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Solution

The fourth proportional to 86,432, 129,669.88 and 24,102.50 is: 36,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,432 : 129,669.88 = 24,102.50 : x
  2. Step 2: Convert to fraction form
    86,432/129,669.88 = 24,102.50/x
  3. Step 3: Cross multiply
    86,432x = 129,669.88 × 24,102.50
  4. Step 4: Simplify right side
    86,432x = 3,125,368,282.70
  5. Step 5: Solve for x
    x = 3,125,368,282.70/86,432
  6. Step 6: Final answer
    x = 36,159.85

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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.