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Finding the Fourth Proportional to 34,741.62, 52,119.79 and 13,394.88

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Solution

The fourth proportional to 34,741.62, 52,119.79 and 13,394.88 is: 20,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,741.62 : 52,119.79 = 13,394.88 : x
  2. Step 2: Convert to fraction form
    34,741.62/52,119.79 = 13,394.88/x
  3. Step 3: Cross multiply
    34,741.62x = 52,119.79 × 13,394.88
  4. Step 4: Simplify right side
    34,741.62x = 698,138,299.19
  5. Step 5: Solve for x
    x = 698,138,299.19/34,741.62
  6. Step 6: Final answer
    x = 20,095.16

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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.