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Finding the Fourth Proportional to 48,762, 73,164.13 and 17,194.61

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Solution

The fourth proportional to 48,762, 73,164.13 and 17,194.61 is: 25,799.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,762 : 73,164.13 = 17,194.61 : x
  2. Step 2: Convert to fraction form
    48,762/73,164.13 = 17,194.61/x
  3. Step 3: Cross multiply
    48,762x = 73,164.13 × 17,194.61
  4. Step 4: Simplify right side
    48,762x = 1,258,028,512.60
  5. Step 5: Solve for x
    x = 1,258,028,512.60/48,762
  6. Step 6: Final answer
    x = 25,799.36

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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.