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Finding the Fourth Proportional to 49,347, 68,099.13 and 26,991

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Solution

The fourth proportional to 49,347, 68,099.13 and 26,991 is: 37,247.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,347 : 68,099.13 = 26,991 : x
  2. Step 2: Convert to fraction form
    49,347/68,099.13 = 26,991/x
  3. Step 3: Cross multiply
    49,347x = 68,099.13 × 26,991
  4. Step 4: Simplify right side
    49,347x = 1,838,063,617.83
  5. Step 5: Solve for x
    x = 1,838,063,617.83/49,347
  6. Step 6: Final answer
    x = 37,247.73

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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.