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Finding the Fourth Proportional to 42,321.28, 58,373.04 and 27,964.48

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Solution

The fourth proportional to 42,321.28, 58,373.04 and 27,964.48 is: 38,570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,321.28 : 58,373.04 = 27,964.48 : x
  2. Step 2: Convert to fraction form
    42,321.28/58,373.04 = 27,964.48/x
  3. Step 3: Cross multiply
    42,321.28x = 58,373.04 × 27,964.48
  4. Step 4: Simplify right side
    42,321.28x = 1,632,371,709.62
  5. Step 5: Solve for x
    x = 1,632,371,709.62/42,321.28
  6. Step 6: Final answer
    x = 38,570.94

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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.