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Finding the Fourth Proportional to 61,324.88, 84,624.12 and 34,471.42

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Solution

The fourth proportional to 61,324.88, 84,624.12 and 34,471.42 is: 47,568.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,324.88 : 84,624.12 = 34,471.42 : x
  2. Step 2: Convert to fraction form
    61,324.88/84,624.12 = 34,471.42/x
  3. Step 3: Cross multiply
    61,324.88x = 84,624.12 × 34,471.42
  4. Step 4: Simplify right side
    61,324.88x = 2,917,113,371.09
  5. Step 5: Solve for x
    x = 2,917,113,371.09/61,324.88
  6. Step 6: Final answer
    x = 47,568.19

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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.