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Finding the Fourth Proportional to 61,085.34, 91,647.65 and 29,077.99

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Solution

The fourth proportional to 61,085.34, 91,647.65 and 29,077.99 is: 43,626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,085.34 : 91,647.65 = 29,077.99 : x
  2. Step 2: Convert to fraction form
    61,085.34/91,647.65 = 29,077.99/x
  3. Step 3: Cross multiply
    61,085.34x = 91,647.65 × 29,077.99
  4. Step 4: Simplify right side
    61,085.34x = 2,664,929,293.80
  5. Step 5: Solve for x
    x = 2,664,929,293.80/61,085.34
  6. Step 6: Final answer
    x = 43,626.33

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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.