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Finding the Fourth Proportional to 38,473.84, 57,702.66 and 14,773.78

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Solution

The fourth proportional to 38,473.84, 57,702.66 and 14,773.78 is: 22,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,473.84 : 57,702.66 = 14,773.78 : x
  2. Step 2: Convert to fraction form
    38,473.84/57,702.66 = 14,773.78/x
  3. Step 3: Cross multiply
    38,473.84x = 57,702.66 × 14,773.78
  4. Step 4: Simplify right side
    38,473.84x = 852,486,404.25
  5. Step 5: Solve for x
    x = 852,486,404.25/38,473.84
  6. Step 6: Final answer
    x = 22,157.56

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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.