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Finding the Fourth Proportional to 92,438.57, 127,565.13 and 49,997

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Solution

The fourth proportional to 92,438.57, 127,565.13 and 49,997 is: 68,995.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,438.57 : 127,565.13 = 49,997 : x
  2. Step 2: Convert to fraction form
    92,438.57/127,565.13 = 49,997/x
  3. Step 3: Cross multiply
    92,438.57x = 127,565.13 × 49,997
  4. Step 4: Simplify right side
    92,438.57x = 6,377,873,804.61
  5. Step 5: Solve for x
    x = 6,377,873,804.61/92,438.57
  6. Step 6: Final answer
    x = 68,995.81

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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.