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Finding the Fourth Proportional to 30,442.17, 45,663.38 and 9,382.05

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Solution

The fourth proportional to 30,442.17, 45,663.38 and 9,382.05 is: 14,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.17 : 45,663.38 = 9,382.05 : x
  2. Step 2: Convert to fraction form
    30,442.17/45,663.38 = 9,382.05/x
  3. Step 3: Cross multiply
    30,442.17x = 45,663.38 × 9,382.05
  4. Step 4: Simplify right side
    30,442.17x = 428,416,067.42
  5. Step 5: Solve for x
    x = 428,416,067.42/30,442.17
  6. Step 6: Final answer
    x = 14,073.11

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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.