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Finding the Fourth Proportional to 52,498.83, 72,454.53 and 29,841.22

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Solution

The fourth proportional to 52,498.83, 72,454.53 and 29,841.22 is: 41,184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,498.83 : 72,454.53 = 29,841.22 : x
  2. Step 2: Convert to fraction form
    52,498.83/72,454.53 = 29,841.22/x
  3. Step 3: Cross multiply
    52,498.83x = 72,454.53 × 29,841.22
  4. Step 4: Simplify right side
    52,498.83x = 2,162,131,569.73
  5. Step 5: Solve for x
    x = 2,162,131,569.73/52,498.83
  6. Step 6: Final answer
    x = 41,184.38

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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.