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Finding the Fourth Proportional to 75,468.92, 113,196.87 and 25,547.94

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Solution

The fourth proportional to 75,468.92, 113,196.87 and 25,547.94 is: 38,319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,468.92 : 113,196.87 = 25,547.94 : x
  2. Step 2: Convert to fraction form
    75,468.92/113,196.87 = 25,547.94/x
  3. Step 3: Cross multiply
    75,468.92x = 113,196.87 × 25,547.94
  4. Step 4: Simplify right side
    75,468.92x = 2,891,946,842.95
  5. Step 5: Solve for x
    x = 2,891,946,842.95/75,468.92
  6. Step 6: Final answer
    x = 38,319.71

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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.