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Finding the Fourth Proportional to 75,305.89, 112,926.02 and 25,376.68

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Solution

The fourth proportional to 75,305.89, 112,926.02 and 25,376.68 is: 38,053.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,305.89 : 112,926.02 = 25,376.68 : x
  2. Step 2: Convert to fraction form
    75,305.89/112,926.02 = 25,376.68/x
  3. Step 3: Cross multiply
    75,305.89x = 112,926.02 × 25,376.68
  4. Step 4: Simplify right side
    75,305.89x = 2,865,686,781.70
  5. Step 5: Solve for x
    x = 2,865,686,781.70/75,305.89
  6. Step 6: Final answer
    x = 38,053.96

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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.