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Finding the Fourth Proportional to 83,618.01, 125,420.22 and 23,644.10

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Solution

The fourth proportional to 83,618.01, 125,420.22 and 23,644.10 is: 35,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,618.01 : 125,420.22 = 23,644.10 : x
  2. Step 2: Convert to fraction form
    83,618.01/125,420.22 = 23,644.10/x
  3. Step 3: Cross multiply
    83,618.01x = 125,420.22 × 23,644.10
  4. Step 4: Simplify right side
    83,618.01x = 2,965,448,537.25
  5. Step 5: Solve for x
    x = 2,965,448,537.25/83,618.01
  6. Step 6: Final answer
    x = 35,464.23

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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.