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Finding the Fourth Proportional to 75,294.92, 112,868.93 and 35,841.44

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Solution

The fourth proportional to 75,294.92, 112,868.93 and 35,841.44 is: 53,727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,294.92 : 112,868.93 = 35,841.44 : x
  2. Step 2: Convert to fraction form
    75,294.92/112,868.93 = 35,841.44/x
  3. Step 3: Cross multiply
    75,294.92x = 112,868.93 × 35,841.44
  4. Step 4: Simplify right side
    75,294.92x = 4,045,384,238.91
  5. Step 5: Solve for x
    x = 4,045,384,238.91/75,294.92
  6. Step 6: Final answer
    x = 53,727.19

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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.