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Finding the Fourth Proportional to 54,291.28, 74,881.92 and 34,132

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Solution

The fourth proportional to 54,291.28, 74,881.92 and 34,132 is: 47,076.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,291.28 : 74,881.92 = 34,132 : x
  2. Step 2: Convert to fraction form
    54,291.28/74,881.92 = 34,132/x
  3. Step 3: Cross multiply
    54,291.28x = 74,881.92 × 34,132
  4. Step 4: Simplify right side
    54,291.28x = 2,555,869,693.44
  5. Step 5: Solve for x
    x = 2,555,869,693.44/54,291.28
  6. Step 6: Final answer
    x = 47,076.98

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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.