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Finding the Fourth Proportional to 30,613.68, 45,949.32 and 15,042.48

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Solution

The fourth proportional to 30,613.68, 45,949.32 and 15,042.48 is: 22,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,613.68 : 45,949.32 = 15,042.48 : x
  2. Step 2: Convert to fraction form
    30,613.68/45,949.32 = 15,042.48/x
  3. Step 3: Cross multiply
    30,613.68x = 45,949.32 × 15,042.48
  4. Step 4: Simplify right side
    30,613.68x = 691,191,727.11
  5. Step 5: Solve for x
    x = 691,191,727.11/30,613.68
  6. Step 6: Final answer
    x = 22,577.87

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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.