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Finding the Fourth Proportional to 38,573.66, 57,869.14 and 16,387.76

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Solution

The fourth proportional to 38,573.66, 57,869.14 and 16,387.76 is: 24,585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,573.66 : 57,869.14 = 16,387.76 : x
  2. Step 2: Convert to fraction form
    38,573.66/57,869.14 = 16,387.76/x
  3. Step 3: Cross multiply
    38,573.66x = 57,869.14 × 16,387.76
  4. Step 4: Simplify right side
    38,573.66x = 948,345,577.73
  5. Step 5: Solve for x
    x = 948,345,577.73/38,573.66
  6. Step 6: Final answer
    x = 24,585.31

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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.