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Finding the Fourth Proportional to 41,177, 61,760.04 and 11,597.16

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Solution

The fourth proportional to 41,177, 61,760.04 and 11,597.16 is: 17,394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,177 : 61,760.04 = 11,597.16 : x
  2. Step 2: Convert to fraction form
    41,177/61,760.04 = 11,597.16/x
  3. Step 3: Cross multiply
    41,177x = 61,760.04 × 11,597.16
  4. Step 4: Simplify right side
    41,177x = 716,241,065.49
  5. Step 5: Solve for x
    x = 716,241,065.49/41,177
  6. Step 6: Final answer
    x = 17,394.20

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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.