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Finding the Fourth Proportional to 42,297.31, 58,375.47 and 24,392.31

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Solution

The fourth proportional to 42,297.31, 58,375.47 and 24,392.31 is: 33,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,297.31 : 58,375.47 = 24,392.31 : x
  2. Step 2: Convert to fraction form
    42,297.31/58,375.47 = 24,392.31/x
  3. Step 3: Cross multiply
    42,297.31x = 58,375.47 × 24,392.31
  4. Step 4: Simplify right side
    42,297.31x = 1,423,912,706.74
  5. Step 5: Solve for x
    x = 1,423,912,706.74/42,297.31
  6. Step 6: Final answer
    x = 33,664.38

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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.