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Finding the Fourth Proportional to 83,395.80, 114,967.62 and 51,546.60

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Solution

The fourth proportional to 83,395.80, 114,967.62 and 51,546.60 is: 71,061.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,395.80 : 114,967.62 = 51,546.60 : x
  2. Step 2: Convert to fraction form
    83,395.80/114,967.62 = 51,546.60/x
  3. Step 3: Cross multiply
    83,395.80x = 114,967.62 × 51,546.60
  4. Step 4: Simplify right side
    83,395.80x = 5,926,189,921.09
  5. Step 5: Solve for x
    x = 5,926,189,921.09/83,395.80
  6. Step 6: Final answer
    x = 71,061.01

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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.