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Finding the Fourth Proportional to 49,199, 67,894.80 and 26,843

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Solution

The fourth proportional to 49,199, 67,894.80 and 26,843 is: 37,043.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,199 : 67,894.80 = 26,843 : x
  2. Step 2: Convert to fraction form
    49,199/67,894.80 = 26,843/x
  3. Step 3: Cross multiply
    49,199x = 67,894.80 × 26,843
  4. Step 4: Simplify right side
    49,199x = 1,822,500,116.40
  5. Step 5: Solve for x
    x = 1,822,500,116.40/49,199
  6. Step 6: Final answer
    x = 37,043.44

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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.