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Finding the Fourth Proportional to 40,391, 55,739.62 and 22,727

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Solution

The fourth proportional to 40,391, 55,739.62 and 22,727 is: 31,363.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,391 : 55,739.62 = 22,727 : x
  2. Step 2: Convert to fraction form
    40,391/55,739.62 = 22,727/x
  3. Step 3: Cross multiply
    40,391x = 55,739.62 × 22,727
  4. Step 4: Simplify right side
    40,391x = 1,266,794,343.74
  5. Step 5: Solve for x
    x = 1,266,794,343.74/40,391
  6. Step 6: Final answer
    x = 31,363.28

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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.