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Finding the Fourth Proportional to 83,422.90, 115,094.28 and 57,922.48

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Solution

The fourth proportional to 83,422.90, 115,094.28 and 57,922.48 is: 79,912.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,422.90 : 115,094.28 = 57,922.48 : x
  2. Step 2: Convert to fraction form
    83,422.90/115,094.28 = 57,922.48/x
  3. Step 3: Cross multiply
    83,422.90x = 115,094.28 × 57,922.48
  4. Step 4: Simplify right side
    83,422.90x = 6,666,546,131.41
  5. Step 5: Solve for x
    x = 6,666,546,131.41/83,422.90
  6. Step 6: Final answer
    x = 79,912.66

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