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Finding the Fourth Proportional to 61,085.30, 84,289.88 and 34,221.20

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Solution

The fourth proportional to 61,085.30, 84,289.88 and 34,221.20 is: 47,220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,085.30 : 84,289.88 = 34,221.20 : x
  2. Step 2: Convert to fraction form
    61,085.30/84,289.88 = 34,221.20/x
  3. Step 3: Cross multiply
    61,085.30x = 84,289.88 × 34,221.20
  4. Step 4: Simplify right side
    61,085.30x = 2,884,500,248.90
  5. Step 5: Solve for x
    x = 2,884,500,248.90/61,085.30
  6. Step 6: Final answer
    x = 47,220.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.