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Finding the Fourth Proportional to 51,422.60, 70,963.72 and 30,202.22

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Solution

The fourth proportional to 51,422.60, 70,963.72 and 30,202.22 is: 41,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,422.60 : 70,963.72 = 30,202.22 : x
  2. Step 2: Convert to fraction form
    51,422.60/70,963.72 = 30,202.22/x
  3. Step 3: Cross multiply
    51,422.60x = 70,963.72 × 30,202.22
  4. Step 4: Simplify right side
    51,422.60x = 2,143,261,883.46
  5. Step 5: Solve for x
    x = 2,143,261,883.46/51,422.60
  6. Step 6: Final answer
    x = 41,679.38

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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.