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Finding the Fourth Proportional to 68,041.60, 102,046.80 and 25,926.46

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Solution

The fourth proportional to 68,041.60, 102,046.80 and 25,926.46 is: 38,883.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,041.60 : 102,046.80 = 25,926.46 : x
  2. Step 2: Convert to fraction form
    68,041.60/102,046.80 = 25,926.46/x
  3. Step 3: Cross multiply
    68,041.60x = 102,046.80 × 25,926.46
  4. Step 4: Simplify right side
    68,041.60x = 2,645,712,278.33
  5. Step 5: Solve for x
    x = 2,645,712,278.33/68,041.60
  6. Step 6: Final answer
    x = 38,883.75

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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.