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Finding the Fourth Proportional to 49,083, 67,734.54 and 26,727

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Solution

The fourth proportional to 49,083, 67,734.54 and 26,727 is: 36,883.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,083 : 67,734.54 = 26,727 : x
  2. Step 2: Convert to fraction form
    49,083/67,734.54 = 26,727/x
  3. Step 3: Cross multiply
    49,083x = 67,734.54 × 26,727
  4. Step 4: Simplify right side
    49,083x = 1,810,341,050.58
  5. Step 5: Solve for x
    x = 1,810,341,050.58/49,083
  6. Step 6: Final answer
    x = 36,883.26

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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.