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Finding the Fourth Proportional to 75,363.82, 112,966.72 and 25,426.71

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Solution

The fourth proportional to 75,363.82, 112,966.72 and 25,426.71 is: 38,113.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,363.82 : 112,966.72 = 25,426.71 : x
  2. Step 2: Convert to fraction form
    75,363.82/112,966.72 = 25,426.71/x
  3. Step 3: Cross multiply
    75,363.82x = 112,966.72 × 25,426.71
  4. Step 4: Simplify right side
    75,363.82x = 2,872,371,965.52
  5. Step 5: Solve for x
    x = 2,872,371,965.52/75,363.82
  6. Step 6: Final answer
    x = 38,113.41

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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.