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Finding the Fourth Proportional to 29,749.62, 44,636.12 and 13,097.97

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Solution

The fourth proportional to 29,749.62, 44,636.12 and 13,097.97 is: 19,652.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,749.62 : 44,636.12 = 13,097.97 : x
  2. Step 2: Convert to fraction form
    29,749.62/44,636.12 = 13,097.97/x
  3. Step 3: Cross multiply
    29,749.62x = 44,636.12 × 13,097.97
  4. Step 4: Simplify right side
    29,749.62x = 584,642,711.69
  5. Step 5: Solve for x
    x = 584,642,711.69/29,749.62
  6. Step 6: Final answer
    x = 19,652.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.