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Finding the Fourth Proportional to 29,543.90, 44,299.22 and 9,811.88

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Solution

The fourth proportional to 29,543.90, 44,299.22 and 9,811.88 is: 14,712.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,543.90 : 44,299.22 = 9,811.88 : x
  2. Step 2: Convert to fraction form
    29,543.90/44,299.22 = 9,811.88/x
  3. Step 3: Cross multiply
    29,543.90x = 44,299.22 × 9,811.88
  4. Step 4: Simplify right side
    29,543.90x = 434,658,630.73
  5. Step 5: Solve for x
    x = 434,658,630.73/29,543.90
  6. Step 6: Final answer
    x = 14,712.30

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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.