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Finding the Fourth Proportional to 42,304.92, 58,380.84 and 23,442

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Solution

The fourth proportional to 42,304.92, 58,380.84 and 23,442 is: 32,349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,304.92 : 58,380.84 = 23,442 : x
  2. Step 2: Convert to fraction form
    42,304.92/58,380.84 = 23,442/x
  3. Step 3: Cross multiply
    42,304.92x = 58,380.84 × 23,442
  4. Step 4: Simplify right side
    42,304.92x = 1,368,563,651.28
  5. Step 5: Solve for x
    x = 1,368,563,651.28/42,304.92
  6. Step 6: Final answer
    x = 32,349.99

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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.