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Finding the Fourth Proportional to 38,429.46, 57,662 and 16,248.01

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Solution

The fourth proportional to 38,429.46, 57,662 and 16,248.01 is: 24,379.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,429.46 : 57,662 = 16,248.01 : x
  2. Step 2: Convert to fraction form
    38,429.46/57,662 = 16,248.01/x
  3. Step 3: Cross multiply
    38,429.46x = 57,662 × 16,248.01
  4. Step 4: Simplify right side
    38,429.46x = 936,892,752.62
  5. Step 5: Solve for x
    x = 936,892,752.62/38,429.46
  6. Step 6: Final answer
    x = 24,379.55

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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.