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Finding the Fourth Proportional to 41,175.84, 61,763.76 and 10,011

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Solution

The fourth proportional to 41,175.84, 61,763.76 and 10,011 is: 15,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,175.84 : 61,763.76 = 10,011 : x
  2. Step 2: Convert to fraction form
    41,175.84/61,763.76 = 10,011/x
  3. Step 3: Cross multiply
    41,175.84x = 61,763.76 × 10,011
  4. Step 4: Simplify right side
    41,175.84x = 618,317,001.36
  5. Step 5: Solve for x
    x = 618,317,001.36/41,175.84
  6. Step 6: Final answer
    x = 15,016.50

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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.