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Finding the Fourth Proportional to 83,694.56, 125,541.76 and 21,365.08

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Solution

The fourth proportional to 83,694.56, 125,541.76 and 21,365.08 is: 32,047.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,694.56 : 125,541.76 = 21,365.08 : x
  2. Step 2: Convert to fraction form
    83,694.56/125,541.76 = 21,365.08/x
  3. Step 3: Cross multiply
    83,694.56x = 125,541.76 × 21,365.08
  4. Step 4: Simplify right side
    83,694.56x = 2,682,209,745.74
  5. Step 5: Solve for x
    x = 2,682,209,745.74/83,694.56
  6. Step 6: Final answer
    x = 32,047.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.