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Finding the Fourth Proportional to 75,908.25, 113,931.81 and 38,494.14

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Solution

The fourth proportional to 75,908.25, 113,931.81 and 38,494.14 is: 57,776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,908.25 : 113,931.81 = 38,494.14 : x
  2. Step 2: Convert to fraction form
    75,908.25/113,931.81 = 38,494.14/x
  3. Step 3: Cross multiply
    75,908.25x = 113,931.81 × 38,494.14
  4. Step 4: Simplify right side
    75,908.25x = 4,385,707,044.59
  5. Step 5: Solve for x
    x = 4,385,707,044.59/75,908.25
  6. Step 6: Final answer
    x = 57,776.42

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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.