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Finding the Fourth Proportional to 83,671.76, 115,469.08 and 45,946.02

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Solution

The fourth proportional to 83,671.76, 115,469.08 and 45,946.02 is: 63,406.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,671.76 : 115,469.08 = 45,946.02 : x
  2. Step 2: Convert to fraction form
    83,671.76/115,469.08 = 45,946.02/x
  3. Step 3: Cross multiply
    83,671.76x = 115,469.08 × 45,946.02
  4. Step 4: Simplify right side
    83,671.76x = 5,305,344,659.06
  5. Step 5: Solve for x
    x = 5,305,344,659.06/83,671.76
  6. Step 6: Final answer
    x = 63,406.63

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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.