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Finding the Fourth Proportional to 75,398.74, 113,064.89 and 35,429.10

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Solution

The fourth proportional to 75,398.74, 113,064.89 and 35,429.10 is: 53,128.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,398.74 : 113,064.89 = 35,429.10 : x
  2. Step 2: Convert to fraction form
    75,398.74/113,064.89 = 35,429.10/x
  3. Step 3: Cross multiply
    75,398.74x = 113,064.89 × 35,429.10
  4. Step 4: Simplify right side
    75,398.74x = 4,005,787,294.30
  5. Step 5: Solve for x
    x = 4,005,787,294.30/75,398.74
  6. Step 6: Final answer
    x = 53,128.04

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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.