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Finding the Fourth Proportional to 75,354.62, 103,983.68 and 41,357.72

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Solution

The fourth proportional to 75,354.62, 103,983.68 and 41,357.72 is: 57,070.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,354.62 : 103,983.68 = 41,357.72 : x
  2. Step 2: Convert to fraction form
    75,354.62/103,983.68 = 41,357.72/x
  3. Step 3: Cross multiply
    75,354.62x = 103,983.68 × 41,357.72
  4. Step 4: Simplify right side
    75,354.62x = 4,300,527,922.01
  5. Step 5: Solve for x
    x = 4,300,527,922.01/75,354.62
  6. Step 6: Final answer
    x = 57,070.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.