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Finding the Fourth Proportional to 84,354.31, 126,531.51 and 22,024.81

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Solution

The fourth proportional to 84,354.31, 126,531.51 and 22,024.81 is: 33,037.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,354.31 : 126,531.51 = 22,024.81 : x
  2. Step 2: Convert to fraction form
    84,354.31/126,531.51 = 22,024.81/x
  3. Step 3: Cross multiply
    84,354.31x = 126,531.51 × 22,024.81
  4. Step 4: Simplify right side
    84,354.31x = 2,786,832,466.76
  5. Step 5: Solve for x
    x = 2,786,832,466.76/84,354.31
  6. Step 6: Final answer
    x = 33,037.23

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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.