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Finding the Fourth Proportional to 83,530.50, 125,293.32 and 30,938.82

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Solution

The fourth proportional to 83,530.50, 125,293.32 and 30,938.82 is: 46,407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,530.50 : 125,293.32 = 30,938.82 : x
  2. Step 2: Convert to fraction form
    83,530.50/125,293.32 = 30,938.82/x
  3. Step 3: Cross multiply
    83,530.50x = 125,293.32 × 30,938.82
  4. Step 4: Simplify right side
    83,530.50x = 3,876,427,474.68
  5. Step 5: Solve for x
    x = 3,876,427,474.68/83,530.50
  6. Step 6: Final answer
    x = 46,407.33

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