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Finding the Fourth Proportional to 49,082, 67,733.16 and 26,726

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Solution

The fourth proportional to 49,082, 67,733.16 and 26,726 is: 36,881.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,082 : 67,733.16 = 26,726 : x
  2. Step 2: Convert to fraction form
    49,082/67,733.16 = 26,726/x
  3. Step 3: Cross multiply
    49,082x = 67,733.16 × 26,726
  4. Step 4: Simplify right side
    49,082x = 1,810,236,434.16
  5. Step 5: Solve for x
    x = 1,810,236,434.16/49,082
  6. Step 6: Final answer
    x = 36,881.88

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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.