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Finding the Fourth Proportional to 44,286, 61,114.68 and 24,414

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Solution

The fourth proportional to 44,286, 61,114.68 and 24,414 is: 33,691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,286 : 61,114.68 = 24,414 : x
  2. Step 2: Convert to fraction form
    44,286/61,114.68 = 24,414/x
  3. Step 3: Cross multiply
    44,286x = 61,114.68 × 24,414
  4. Step 4: Simplify right side
    44,286x = 1,492,053,797.52
  5. Step 5: Solve for x
    x = 1,492,053,797.52/44,286
  6. Step 6: Final answer
    x = 33,691.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.