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Finding the Fourth Proportional to 117,538.58, 176,320.18 and 38,658.96

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Solution

The fourth proportional to 117,538.58, 176,320.18 and 38,658.96 is: 57,992.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,538.58 : 176,320.18 = 38,658.96 : x
  2. Step 2: Convert to fraction form
    117,538.58/176,320.18 = 38,658.96/x
  3. Step 3: Cross multiply
    117,538.58x = 176,320.18 × 38,658.96
  4. Step 4: Simplify right side
    117,538.58x = 6,816,354,616.68
  5. Step 5: Solve for x
    x = 6,816,354,616.68/117,538.58
  6. Step 6: Final answer
    x = 57,992.49

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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.