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Finding the Fourth Proportional to 60,414.48, 90,490.32 and 29,184

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Solution

The fourth proportional to 60,414.48, 90,490.32 and 29,184 is: 43,712.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,414.48 : 90,490.32 = 29,184 : x
  2. Step 2: Convert to fraction form
    60,414.48/90,490.32 = 29,184/x
  3. Step 3: Cross multiply
    60,414.48x = 90,490.32 × 29,184
  4. Step 4: Simplify right side
    60,414.48x = 2,640,869,498.88
  5. Step 5: Solve for x
    x = 2,640,869,498.88/60,414.48
  6. Step 6: Final answer
    x = 43,712.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.