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Finding the Fourth Proportional to 32,414.92, 48,649.11 and 25,064.17

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Solution

The fourth proportional to 32,414.92, 48,649.11 and 25,064.17 is: 37,616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414.92 : 48,649.11 = 25,064.17 : x
  2. Step 2: Convert to fraction form
    32,414.92/48,649.11 = 25,064.17/x
  3. Step 3: Cross multiply
    32,414.92x = 48,649.11 × 25,064.17
  4. Step 4: Simplify right side
    32,414.92x = 1,219,349,194.82
  5. Step 5: Solve for x
    x = 1,219,349,194.82/32,414.92
  6. Step 6: Final answer
    x = 37,616.92

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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.