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Finding the Fourth Proportional to 83,122.88, 114,633.60 and 64,976

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Solution

The fourth proportional to 83,122.88, 114,633.60 and 64,976 is: 89,607.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,122.88 : 114,633.60 = 64,976 : x
  2. Step 2: Convert to fraction form
    83,122.88/114,633.60 = 64,976/x
  3. Step 3: Cross multiply
    83,122.88x = 114,633.60 × 64,976
  4. Step 4: Simplify right side
    83,122.88x = 7,448,432,793.60
  5. Step 5: Solve for x
    x = 7,448,432,793.60/83,122.88
  6. Step 6: Final answer
    x = 89,607.49

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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.