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Finding the Fourth Proportional to 69,294.24, 103,958.64 and 27,740.16

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Solution

The fourth proportional to 69,294.24, 103,958.64 and 27,740.16 is: 41,617.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,294.24 : 103,958.64 = 27,740.16 : x
  2. Step 2: Convert to fraction form
    69,294.24/103,958.64 = 27,740.16/x
  3. Step 3: Cross multiply
    69,294.24x = 103,958.64 × 27,740.16
  4. Step 4: Simplify right side
    69,294.24x = 2,883,829,306.98
  5. Step 5: Solve for x
    x = 2,883,829,306.98/69,294.24
  6. Step 6: Final answer
    x = 41,617.16

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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.