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Finding the Fourth Proportional to 71,829.64, 99,123.78 and 40,001.32

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Solution

The fourth proportional to 71,829.64, 99,123.78 and 40,001.32 is: 55,201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,829.64 : 99,123.78 = 40,001.32 : x
  2. Step 2: Convert to fraction form
    71,829.64/99,123.78 = 40,001.32/x
  3. Step 3: Cross multiply
    71,829.64x = 99,123.78 × 40,001.32
  4. Step 4: Simplify right side
    71,829.64x = 3,965,082,043.39
  5. Step 5: Solve for x
    x = 3,965,082,043.39/71,829.64
  6. Step 6: Final answer
    x = 55,201.20

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