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Finding the Fourth Proportional to 49,074, 67,722.12 and 26,718

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Solution

The fourth proportional to 49,074, 67,722.12 and 26,718 is: 36,870.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,074 : 67,722.12 = 26,718 : x
  2. Step 2: Convert to fraction form
    49,074/67,722.12 = 26,718/x
  3. Step 3: Cross multiply
    49,074x = 67,722.12 × 26,718
  4. Step 4: Simplify right side
    49,074x = 1,809,399,602.16
  5. Step 5: Solve for x
    x = 1,809,399,602.16/49,074
  6. Step 6: Final answer
    x = 36,870.84

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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.