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Finding the Fourth Proportional to 54,809.76, 82,240.01 and 29,820.04

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Solution

The fourth proportional to 54,809.76, 82,240.01 and 29,820.04 is: 44,743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,809.76 : 82,240.01 = 29,820.04 : x
  2. Step 2: Convert to fraction form
    54,809.76/82,240.01 = 29,820.04/x
  3. Step 3: Cross multiply
    54,809.76x = 82,240.01 × 29,820.04
  4. Step 4: Simplify right side
    54,809.76x = 2,452,400,256.75
  5. Step 5: Solve for x
    x = 2,452,400,256.75/54,809.76
  6. Step 6: Final answer
    x = 44,743.86

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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.