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Finding the Fourth Proportional to 42,582.84, 58,764.78 and 23,721

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Solution

The fourth proportional to 42,582.84, 58,764.78 and 23,721 is: 32,735.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,582.84 : 58,764.78 = 23,721 : x
  2. Step 2: Convert to fraction form
    42,582.84/58,764.78 = 23,721/x
  3. Step 3: Cross multiply
    42,582.84x = 58,764.78 × 23,721
  4. Step 4: Simplify right side
    42,582.84x = 1,393,959,346.38
  5. Step 5: Solve for x
    x = 1,393,959,346.38/42,582.84
  6. Step 6: Final answer
    x = 32,735.24

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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.