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Finding the Fourth Proportional to 90,098.30, 135,032.42 and 42,713.30

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Solution

The fourth proportional to 90,098.30, 135,032.42 and 42,713.30 is: 64,015.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,098.30 : 135,032.42 = 42,713.30 : x
  2. Step 2: Convert to fraction form
    90,098.30/135,032.42 = 42,713.30/x
  3. Step 3: Cross multiply
    90,098.30x = 135,032.42 × 42,713.30
  4. Step 4: Simplify right side
    90,098.30x = 5,767,680,265.19
  5. Step 5: Solve for x
    x = 5,767,680,265.19/90,098.30
  6. Step 6: Final answer
    x = 64,015.42

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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.