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Finding the Fourth Proportional to 38,098.01, 57,149.76 and 13,137.70

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Solution

The fourth proportional to 38,098.01, 57,149.76 and 13,137.70 is: 19,707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,098.01 : 57,149.76 = 13,137.70 : x
  2. Step 2: Convert to fraction form
    38,098.01/57,149.76 = 13,137.70/x
  3. Step 3: Cross multiply
    38,098.01x = 57,149.76 × 13,137.70
  4. Step 4: Simplify right side
    38,098.01x = 750,816,341.60
  5. Step 5: Solve for x
    x = 750,816,341.60/38,098.01
  6. Step 6: Final answer
    x = 19,707.49

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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.