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Finding the Fourth Proportional to 36,057.84, 54,013.32 and 29,418

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Solution

The fourth proportional to 36,057.84, 54,013.32 and 29,418 is: 44,067.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,057.84 : 54,013.32 = 29,418 : x
  2. Step 2: Convert to fraction form
    36,057.84/54,013.32 = 29,418/x
  3. Step 3: Cross multiply
    36,057.84x = 54,013.32 × 29,418
  4. Step 4: Simplify right side
    36,057.84x = 1,588,963,847.76
  5. Step 5: Solve for x
    x = 1,588,963,847.76/36,057.84
  6. Step 6: Final answer
    x = 44,067.08

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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.