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Finding the Fourth Proportional to 92,293.38, 127,364.86 and 49,851.92

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Solution

The fourth proportional to 92,293.38, 127,364.86 and 49,851.92 is: 68,795.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,293.38 : 127,364.86 = 49,851.92 : x
  2. Step 2: Convert to fraction form
    92,293.38/127,364.86 = 49,851.92/x
  3. Step 3: Cross multiply
    92,293.38x = 127,364.86 × 49,851.92
  4. Step 4: Simplify right side
    92,293.38x = 6,349,382,811.53
  5. Step 5: Solve for x
    x = 6,349,382,811.53/92,293.38
  6. Step 6: Final answer
    x = 68,795.65

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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.