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Finding the Fourth Proportional to 54,269.32, 81,434.22 and 29,308.84

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Solution

The fourth proportional to 54,269.32, 81,434.22 and 29,308.84 is: 43,979.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,269.32 : 81,434.22 = 29,308.84 : x
  2. Step 2: Convert to fraction form
    54,269.32/81,434.22 = 29,308.84/x
  3. Step 3: Cross multiply
    54,269.32x = 81,434.22 × 29,308.84
  4. Step 4: Simplify right side
    54,269.32x = 2,386,742,524.50
  5. Step 5: Solve for x
    x = 2,386,742,524.50/54,269.32
  6. Step 6: Final answer
    x = 43,979.59

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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.