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Finding the Fourth Proportional to 30,508.38, 45,744.45 and 9,442.17

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Solution

The fourth proportional to 30,508.38, 45,744.45 and 9,442.17 is: 14,157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,508.38 : 45,744.45 = 9,442.17 : x
  2. Step 2: Convert to fraction form
    30,508.38/45,744.45 = 9,442.17/x
  3. Step 3: Cross multiply
    30,508.38x = 45,744.45 × 9,442.17
  4. Step 4: Simplify right side
    30,508.38x = 431,926,873.46
  5. Step 5: Solve for x
    x = 431,926,873.46/30,508.38
  6. Step 6: Final answer
    x = 14,157.65

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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.