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Finding the Fourth Proportional to 29,844.50, 44,766.77 and 7,657.88

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Solution

The fourth proportional to 29,844.50, 44,766.77 and 7,657.88 is: 11,486.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,844.50 : 44,766.77 = 7,657.88 : x
  2. Step 2: Convert to fraction form
    29,844.50/44,766.77 = 7,657.88/x
  3. Step 3: Cross multiply
    29,844.50x = 44,766.77 × 7,657.88
  4. Step 4: Simplify right side
    29,844.50x = 342,818,290.52
  5. Step 5: Solve for x
    x = 342,818,290.52/29,844.50
  6. Step 6: Final answer
    x = 11,486.82

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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.