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Finding the Fourth Proportional to 49,887.84, 68,853.78 and 47,645.76

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Solution

The fourth proportional to 49,887.84, 68,853.78 and 47,645.76 is: 65,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,887.84 : 68,853.78 = 47,645.76 : x
  2. Step 2: Convert to fraction form
    49,887.84/68,853.78 = 47,645.76/x
  3. Step 3: Cross multiply
    49,887.84x = 68,853.78 × 47,645.76
  4. Step 4: Simplify right side
    49,887.84x = 3,280,590,676.97
  5. Step 5: Solve for x
    x = 3,280,590,676.97/49,887.84
  6. Step 6: Final answer
    x = 65,759.32

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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.