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Finding the Fourth Proportional to 49,881.92, 68,742.07 and 35,710.16

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Solution

The fourth proportional to 49,881.92, 68,742.07 and 35,710.16 is: 49,212.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,881.92 : 68,742.07 = 35,710.16 : x
  2. Step 2: Convert to fraction form
    49,881.92/68,742.07 = 35,710.16/x
  3. Step 3: Cross multiply
    49,881.92x = 68,742.07 × 35,710.16
  4. Step 4: Simplify right side
    49,881.92x = 2,454,789,885.45
  5. Step 5: Solve for x
    x = 2,454,789,885.45/49,881.92
  6. Step 6: Final answer
    x = 49,212.02

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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.