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Finding the Fourth Proportional to 78,249.69, 117,362.01 and 24,934.74

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Solution

The fourth proportional to 78,249.69, 117,362.01 and 24,934.74 is: 37,398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,249.69 : 117,362.01 = 24,934.74 : x
  2. Step 2: Convert to fraction form
    78,249.69/117,362.01 = 24,934.74/x
  3. Step 3: Cross multiply
    78,249.69x = 117,362.01 × 24,934.74
  4. Step 4: Simplify right side
    78,249.69x = 2,926,391,205.23
  5. Step 5: Solve for x
    x = 2,926,391,205.23/78,249.69
  6. Step 6: Final answer
    x = 37,398.12

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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.