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Finding the Fourth Proportional to 42,557.84, 58,728.48 and 23,694

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Solution

The fourth proportional to 42,557.84, 58,728.48 and 23,694 is: 32,696.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,557.84 : 58,728.48 = 23,694 : x
  2. Step 2: Convert to fraction form
    42,557.84/58,728.48 = 23,694/x
  3. Step 3: Cross multiply
    42,557.84x = 58,728.48 × 23,694
  4. Step 4: Simplify right side
    42,557.84x = 1,391,512,605.12
  5. Step 5: Solve for x
    x = 1,391,512,605.12/42,557.84
  6. Step 6: Final answer
    x = 32,696.97

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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.