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Finding the Fourth Proportional to 74,442, 102,729.96 and 40,908

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Solution

The fourth proportional to 74,442, 102,729.96 and 40,908 is: 56,453.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,442 : 102,729.96 = 40,908 : x
  2. Step 2: Convert to fraction form
    74,442/102,729.96 = 40,908/x
  3. Step 3: Cross multiply
    74,442x = 102,729.96 × 40,908
  4. Step 4: Simplify right side
    74,442x = 4,202,477,203.68
  5. Step 5: Solve for x
    x = 4,202,477,203.68/74,442
  6. Step 6: Final answer
    x = 56,453.04

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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.