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Finding the Fourth Proportional to 71,919.10, 99,253.62 and 41,714.74

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Solution

The fourth proportional to 71,919.10, 99,253.62 and 41,714.74 is: 57,569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,919.10 : 99,253.62 = 41,714.74 : x
  2. Step 2: Convert to fraction form
    71,919.10/99,253.62 = 41,714.74/x
  3. Step 3: Cross multiply
    71,919.10x = 99,253.62 × 41,714.74
  4. Step 4: Simplify right side
    71,919.10x = 4,140,338,952.36
  5. Step 5: Solve for x
    x = 4,140,338,952.36/71,919.10
  6. Step 6: Final answer
    x = 57,569.39

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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.