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Finding the Fourth Proportional to 75,531, 104,232.78 and 41,996.28

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Solution

The fourth proportional to 75,531, 104,232.78 and 41,996.28 is: 57,954.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,531 : 104,232.78 = 41,996.28 : x
  2. Step 2: Convert to fraction form
    75,531/104,232.78 = 41,996.28/x
  3. Step 3: Cross multiply
    75,531x = 104,232.78 × 41,996.28
  4. Step 4: Simplify right side
    75,531x = 4,377,389,014.06
  5. Step 5: Solve for x
    x = 4,377,389,014.06/75,531
  6. Step 6: Final answer
    x = 57,954.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.