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Finding the Fourth Proportional to 83,061.01, 114,584.26 and 54,368.02

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Solution

The fourth proportional to 83,061.01, 114,584.26 and 54,368.02 is: 75,001.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,061.01 : 114,584.26 = 54,368.02 : x
  2. Step 2: Convert to fraction form
    83,061.01/114,584.26 = 54,368.02/x
  3. Step 3: Cross multiply
    83,061.01x = 114,584.26 × 54,368.02
  4. Step 4: Simplify right side
    83,061.01x = 6,229,719,533.29
  5. Step 5: Solve for x
    x = 6,229,719,533.29/83,061.01
  6. Step 6: Final answer
    x = 75,001.73

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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.