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Finding the Fourth Proportional to 29,659.50, 44,489.24 and 9,938.09

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Solution

The fourth proportional to 29,659.50, 44,489.24 and 9,938.09 is: 14,907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,659.50 : 44,489.24 = 9,938.09 : x
  2. Step 2: Convert to fraction form
    29,659.50/44,489.24 = 9,938.09/x
  3. Step 3: Cross multiply
    29,659.50x = 44,489.24 × 9,938.09
  4. Step 4: Simplify right side
    29,659.50x = 442,138,071.15
  5. Step 5: Solve for x
    x = 442,138,071.15/29,659.50
  6. Step 6: Final answer
    x = 14,907.13

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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.