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Finding the Fourth Proportional to 83,282.75, 114,985.64 and 49,302.17

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Solution

The fourth proportional to 83,282.75, 114,985.64 and 49,302.17 is: 68,069.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,282.75 : 114,985.64 = 49,302.17 : x
  2. Step 2: Convert to fraction form
    83,282.75/114,985.64 = 49,302.17/x
  3. Step 3: Cross multiply
    83,282.75x = 114,985.64 × 49,302.17
  4. Step 4: Simplify right side
    83,282.75x = 5,669,041,324.33
  5. Step 5: Solve for x
    x = 5,669,041,324.33/83,282.75
  6. Step 6: Final answer
    x = 68,069.81

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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.