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Finding the Fourth Proportional to 113,117.87, 169,671.47 and 38,241

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Solution

The fourth proportional to 113,117.87, 169,671.47 and 38,241 is: 57,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,117.87 : 169,671.47 = 38,241 : x
  2. Step 2: Convert to fraction form
    113,117.87/169,671.47 = 38,241/x
  3. Step 3: Cross multiply
    113,117.87x = 169,671.47 × 38,241
  4. Step 4: Simplify right side
    113,117.87x = 6,488,406,493.07
  5. Step 5: Solve for x
    x = 6,488,406,493.07/113,117.87
  6. Step 6: Final answer
    x = 57,359.70

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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.