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Finding the Fourth Proportional to 60,766.16, 83,857.14 and 33,908.38

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Solution

The fourth proportional to 60,766.16, 83,857.14 and 33,908.38 is: 46,793.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,766.16 : 83,857.14 = 33,908.38 : x
  2. Step 2: Convert to fraction form
    60,766.16/83,857.14 = 33,908.38/x
  3. Step 3: Cross multiply
    60,766.16x = 83,857.14 × 33,908.38
  4. Step 4: Simplify right side
    60,766.16x = 2,843,459,559.19
  5. Step 5: Solve for x
    x = 2,843,459,559.19/60,766.16
  6. Step 6: Final answer
    x = 46,793.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.