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Finding the Fourth Proportional to 49,322.85, 68,064.15 and 27,812.40

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Solution

The fourth proportional to 49,322.85, 68,064.15 and 27,812.40 is: 38,380.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,322.85 : 68,064.15 = 27,812.40 : x
  2. Step 2: Convert to fraction form
    49,322.85/68,064.15 = 27,812.40/x
  3. Step 3: Cross multiply
    49,322.85x = 68,064.15 × 27,812.40
  4. Step 4: Simplify right side
    49,322.85x = 1,893,027,365.46
  5. Step 5: Solve for x
    x = 1,893,027,365.46/49,322.85
  6. Step 6: Final answer
    x = 38,380.33

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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.