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Finding the Fourth Proportional to 41,508, 57,281.04 and 22,645.53

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Solution

The fourth proportional to 41,508, 57,281.04 and 22,645.53 is: 31,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,508 : 57,281.04 = 22,645.53 : x
  2. Step 2: Convert to fraction form
    41,508/57,281.04 = 22,645.53/x
  3. Step 3: Cross multiply
    41,508x = 57,281.04 × 22,645.53
  4. Step 4: Simplify right side
    41,508x = 1,297,159,509.75
  5. Step 5: Solve for x
    x = 1,297,159,509.75/41,508
  6. Step 6: Final answer
    x = 31,250.83

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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.