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Finding the Fourth Proportional to 38,078.88, 52,541.56 and 24,648.27

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Solution

The fourth proportional to 38,078.88, 52,541.56 and 24,648.27 is: 34,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,078.88 : 52,541.56 = 24,648.27 : x
  2. Step 2: Convert to fraction form
    38,078.88/52,541.56 = 24,648.27/x
  3. Step 3: Cross multiply
    38,078.88x = 52,541.56 × 24,648.27
  4. Step 4: Simplify right side
    38,078.88x = 1,295,058,557.10
  5. Step 5: Solve for x
    x = 1,295,058,557.10/38,078.88
  6. Step 6: Final answer
    x = 34,009.89

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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.