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Finding the Fourth Proportional to 44,737.82, 61,738.17 and 24,596

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Solution

The fourth proportional to 44,737.82, 61,738.17 and 24,596 is: 33,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,737.82 : 61,738.17 = 24,596 : x
  2. Step 2: Convert to fraction form
    44,737.82/61,738.17 = 24,596/x
  3. Step 3: Cross multiply
    44,737.82x = 61,738.17 × 24,596
  4. Step 4: Simplify right side
    44,737.82x = 1,518,512,029.32
  5. Step 5: Solve for x
    x = 1,518,512,029.32/44,737.82
  6. Step 6: Final answer
    x = 33,942.47

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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.