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Finding the Fourth Proportional to 29,635.68, 44,459.61 and 9,914.41

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Solution

The fourth proportional to 29,635.68, 44,459.61 and 9,914.41 is: 14,873.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,635.68 : 44,459.61 = 9,914.41 : x
  2. Step 2: Convert to fraction form
    29,635.68/44,459.61 = 9,914.41/x
  3. Step 3: Cross multiply
    29,635.68x = 44,459.61 × 9,914.41
  4. Step 4: Simplify right side
    29,635.68x = 440,790,820.38
  5. Step 5: Solve for x
    x = 440,790,820.38/29,635.68
  6. Step 6: Final answer
    x = 14,873.65

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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.