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Finding the Fourth Proportional to 132,410.64, 198,616.04 and 38,982

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Solution

The fourth proportional to 132,410.64, 198,616.04 and 38,982 is: 58,473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,410.64 : 198,616.04 = 38,982 : x
  2. Step 2: Convert to fraction form
    132,410.64/198,616.04 = 38,982/x
  3. Step 3: Cross multiply
    132,410.64x = 198,616.04 × 38,982
  4. Step 4: Simplify right side
    132,410.64x = 7,742,450,471.28
  5. Step 5: Solve for x
    x = 7,742,450,471.28/132,410.64
  6. Step 6: Final answer
    x = 58,473.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.