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Finding the Fourth Proportional to 41,854.78, 62,728.77 and 19,619.17

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Solution

The fourth proportional to 41,854.78, 62,728.77 and 19,619.17 is: 29,403.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,854.78 : 62,728.77 = 19,619.17 : x
  2. Step 2: Convert to fraction form
    41,854.78/62,728.77 = 19,619.17/x
  3. Step 3: Cross multiply
    41,854.78x = 62,728.77 × 19,619.17
  4. Step 4: Simplify right side
    41,854.78x = 1,230,686,402.52
  5. Step 5: Solve for x
    x = 1,230,686,402.52/41,854.78
  6. Step 6: Final answer
    x = 29,403.72

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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.