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Finding the Fourth Proportional to 32,613.90, 48,896.94 and 10,414.48

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Solution

The fourth proportional to 32,613.90, 48,896.94 and 10,414.48 is: 15,614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,613.90 : 48,896.94 = 10,414.48 : x
  2. Step 2: Convert to fraction form
    32,613.90/48,896.94 = 10,414.48/x
  3. Step 3: Cross multiply
    32,613.90x = 48,896.94 × 10,414.48
  4. Step 4: Simplify right side
    32,613.90x = 509,236,203.69
  5. Step 5: Solve for x
    x = 509,236,203.69/32,613.90
  6. Step 6: Final answer
    x = 15,614.08

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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.