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Finding the Fourth Proportional to 40,381.98, 55,727.64 and 22,477.74

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Solution

The fourth proportional to 40,381.98, 55,727.64 and 22,477.74 is: 31,019.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,381.98 : 55,727.64 = 22,477.74 : x
  2. Step 2: Convert to fraction form
    40,381.98/55,727.64 = 22,477.74/x
  3. Step 3: Cross multiply
    40,381.98x = 55,727.64 × 22,477.74
  4. Step 4: Simplify right side
    40,381.98x = 1,252,631,402.73
  5. Step 5: Solve for x
    x = 1,252,631,402.73/40,381.98
  6. Step 6: Final answer
    x = 31,019.56

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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.