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Finding the Fourth Proportional to 49,172, 67,857.36 and 26,816

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Solution

The fourth proportional to 49,172, 67,857.36 and 26,816 is: 37,006.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,172 : 67,857.36 = 26,816 : x
  2. Step 2: Convert to fraction form
    49,172/67,857.36 = 26,816/x
  3. Step 3: Cross multiply
    49,172x = 67,857.36 × 26,816
  4. Step 4: Simplify right side
    49,172x = 1,819,662,965.76
  5. Step 5: Solve for x
    x = 1,819,662,965.76/49,172
  6. Step 6: Final answer
    x = 37,006.08

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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.