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Finding the Fourth Proportional to 49,659.44, 68,506.40 and 29,505

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Solution

The fourth proportional to 49,659.44, 68,506.40 and 29,505 is: 40,702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,659.44 : 68,506.40 = 29,505 : x
  2. Step 2: Convert to fraction form
    49,659.44/68,506.40 = 29,505/x
  3. Step 3: Cross multiply
    49,659.44x = 68,506.40 × 29,505
  4. Step 4: Simplify right side
    49,659.44x = 2,021,281,332.00
  5. Step 5: Solve for x
    x = 2,021,281,332.00/49,659.44
  6. Step 6: Final answer
    x = 40,702.86

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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.