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Finding the Fourth Proportional to 49,894.17, 68,853.96 and 34,006.38

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Solution

The fourth proportional to 49,894.17, 68,853.96 and 34,006.38 is: 46,928.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,894.17 : 68,853.96 = 34,006.38 : x
  2. Step 2: Convert to fraction form
    49,894.17/68,853.96 = 34,006.38/x
  3. Step 3: Cross multiply
    49,894.17x = 68,853.96 × 34,006.38
  4. Step 4: Simplify right side
    49,894.17x = 2,341,473,670.06
  5. Step 5: Solve for x
    x = 2,341,473,670.06/49,894.17
  6. Step 6: Final answer
    x = 46,928.80

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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.