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Finding the Fourth Proportional to 49,123.16, 67,790 and 26,767.16

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Solution

The fourth proportional to 49,123.16, 67,790 and 26,767.16 is: 36,938.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,123.16 : 67,790 = 26,767.16 : x
  2. Step 2: Convert to fraction form
    49,123.16/67,790 = 26,767.16/x
  3. Step 3: Cross multiply
    49,123.16x = 67,790 × 26,767.16
  4. Step 4: Simplify right side
    49,123.16x = 1,814,545,776.40
  5. Step 5: Solve for x
    x = 1,814,545,776.40/49,123.16
  6. Step 6: Final answer
    x = 36,938.70

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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.