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Finding the Fourth Proportional to 61,081.38, 84,291.25 and 34,223.80

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Solution

The fourth proportional to 61,081.38, 84,291.25 and 34,223.80 is: 47,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,081.38 : 84,291.25 = 34,223.80 : x
  2. Step 2: Convert to fraction form
    61,081.38/84,291.25 = 34,223.80/x
  3. Step 3: Cross multiply
    61,081.38x = 84,291.25 × 34,223.80
  4. Step 4: Simplify right side
    61,081.38x = 2,884,766,881.75
  5. Step 5: Solve for x
    x = 2,884,766,881.75/61,081.38
  6. Step 6: Final answer
    x = 47,228.25

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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.