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Finding the Fourth Proportional to 41,166, 61,749 and 10,001.34

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Solution

The fourth proportional to 41,166, 61,749 and 10,001.34 is: 15,002.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,166 : 61,749 = 10,001.34 : x
  2. Step 2: Convert to fraction form
    41,166/61,749 = 10,001.34/x
  3. Step 3: Cross multiply
    41,166x = 61,749 × 10,001.34
  4. Step 4: Simplify right side
    41,166x = 617,572,743.66
  5. Step 5: Solve for x
    x = 617,572,743.66/41,166
  6. Step 6: Final answer
    x = 15,002.01

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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.