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Finding the Fourth Proportional to 83,164.86, 114,772.23 and 51,334.29

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Solution

The fourth proportional to 83,164.86, 114,772.23 and 51,334.29 is: 70,844.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,164.86 : 114,772.23 = 51,334.29 : x
  2. Step 2: Convert to fraction form
    83,164.86/114,772.23 = 51,334.29/x
  3. Step 3: Cross multiply
    83,164.86x = 114,772.23 × 51,334.29
  4. Step 4: Simplify right side
    83,164.86x = 5,891,750,938.77
  5. Step 5: Solve for x
    x = 5,891,750,938.77/83,164.86
  6. Step 6: Final answer
    x = 70,844.24

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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.