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Finding the Fourth Proportional to 42,362.46, 63,585 and 20,191.14

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Solution

The fourth proportional to 42,362.46, 63,585 and 20,191.14 is: 30,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,362.46 : 63,585 = 20,191.14 : x
  2. Step 2: Convert to fraction form
    42,362.46/63,585 = 20,191.14/x
  3. Step 3: Cross multiply
    42,362.46x = 63,585 × 20,191.14
  4. Step 4: Simplify right side
    42,362.46x = 1,283,853,636.90
  5. Step 5: Solve for x
    x = 1,283,853,636.90/42,362.46
  6. Step 6: Final answer
    x = 30,306.40

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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.