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Finding the Fourth Proportional to 49,092, 67,746.96 and 26,736

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Solution

The fourth proportional to 49,092, 67,746.96 and 26,736 is: 36,895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,092 : 67,746.96 = 26,736 : x
  2. Step 2: Convert to fraction form
    49,092/67,746.96 = 26,736/x
  3. Step 3: Cross multiply
    49,092x = 67,746.96 × 26,736
  4. Step 4: Simplify right side
    49,092x = 1,811,282,722.56
  5. Step 5: Solve for x
    x = 1,811,282,722.56/49,092
  6. Step 6: Final answer
    x = 36,895.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.