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Finding the Fourth Proportional to 40,282.56, 55,590 and 22,377.60

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Solution

The fourth proportional to 40,282.56, 55,590 and 22,377.60 is: 30,881.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,282.56 : 55,590 = 22,377.60 : x
  2. Step 2: Convert to fraction form
    40,282.56/55,590 = 22,377.60/x
  3. Step 3: Cross multiply
    40,282.56x = 55,590 × 22,377.60
  4. Step 4: Simplify right side
    40,282.56x = 1,243,970,784
  5. Step 5: Solve for x
    x = 1,243,970,784/40,282.56
  6. Step 6: Final answer
    x = 30,881.13

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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.