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Finding the Fourth Proportional to 58,456.64, 87,713.76 and 27,294.08

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Solution

The fourth proportional to 58,456.64, 87,713.76 and 27,294.08 is: 40,954.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,456.64 : 87,713.76 = 27,294.08 : x
  2. Step 2: Convert to fraction form
    58,456.64/87,713.76 = 27,294.08/x
  3. Step 3: Cross multiply
    58,456.64x = 87,713.76 × 27,294.08
  4. Step 4: Simplify right side
    58,456.64x = 2,394,066,382.54
  5. Step 5: Solve for x
    x = 2,394,066,382.54/58,456.64
  6. Step 6: Final answer
    x = 40,954.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.