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Finding the Fourth Proportional to 49,122, 67,788.54 and 26,766

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Solution

The fourth proportional to 49,122, 67,788.54 and 26,766 is: 36,937.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,122 : 67,788.54 = 26,766 : x
  2. Step 2: Convert to fraction form
    49,122/67,788.54 = 26,766/x
  3. Step 3: Cross multiply
    49,122x = 67,788.54 × 26,766
  4. Step 4: Simplify right side
    49,122x = 1,814,428,061.64
  5. Step 5: Solve for x
    x = 1,814,428,061.64/49,122
  6. Step 6: Final answer
    x = 36,937.18

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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.