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Finding the Fourth Proportional to 117,293.67, 175,952.81 and 38,414.05

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Solution

The fourth proportional to 117,293.67, 175,952.81 and 38,414.05 is: 57,625.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,293.67 : 175,952.81 = 38,414.05 : x
  2. Step 2: Convert to fraction form
    117,293.67/175,952.81 = 38,414.05/x
  3. Step 3: Cross multiply
    117,293.67x = 175,952.81 × 38,414.05
  4. Step 4: Simplify right side
    117,293.67x = 6,759,059,481.05
  5. Step 5: Solve for x
    x = 6,759,059,481.05/117,293.67
  6. Step 6: Final answer
    x = 57,625.10

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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.