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Finding the Fourth Proportional to 92,152.50, 138,251.46 and 29,823

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Solution

The fourth proportional to 92,152.50, 138,251.46 and 29,823 is: 44,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,152.50 : 138,251.46 = 29,823 : x
  2. Step 2: Convert to fraction form
    92,152.50/138,251.46 = 29,823/x
  3. Step 3: Cross multiply
    92,152.50x = 138,251.46 × 29,823
  4. Step 4: Simplify right side
    92,152.50x = 4,123,073,291.58
  5. Step 5: Solve for x
    x = 4,123,073,291.58/92,152.50
  6. Step 6: Final answer
    x = 44,741.85

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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.