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Finding the Fourth Proportional to 29,184.44, 43,780.98 and 10,715

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Solution

The fourth proportional to 29,184.44, 43,780.98 and 10,715 is: 16,074.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,184.44 : 43,780.98 = 10,715 : x
  2. Step 2: Convert to fraction form
    29,184.44/43,780.98 = 10,715/x
  3. Step 3: Cross multiply
    29,184.44x = 43,780.98 × 10,715
  4. Step 4: Simplify right side
    29,184.44x = 469,113,200.70
  5. Step 5: Solve for x
    x = 469,113,200.70/29,184.44
  6. Step 6: Final answer
    x = 16,074.09

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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.