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Finding the Fourth Proportional to 66,227.76, 91,378.28 and 42,019.90

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Solution

The fourth proportional to 66,227.76, 91,378.28 and 42,019.90 is: 57,977.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,227.76 : 91,378.28 = 42,019.90 : x
  2. Step 2: Convert to fraction form
    66,227.76/91,378.28 = 42,019.90/x
  3. Step 3: Cross multiply
    66,227.76x = 91,378.28 × 42,019.90
  4. Step 4: Simplify right side
    66,227.76x = 3,839,706,064.38
  5. Step 5: Solve for x
    x = 3,839,706,064.38/66,227.76
  6. Step 6: Final answer
    x = 57,977.29

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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.