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Finding the Fourth Proportional to 40,677.84, 56,135.12 and 22,772.80

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Solution

The fourth proportional to 40,677.84, 56,135.12 and 22,772.80 is: 31,426.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,677.84 : 56,135.12 = 22,772.80 : x
  2. Step 2: Convert to fraction form
    40,677.84/56,135.12 = 22,772.80/x
  3. Step 3: Cross multiply
    40,677.84x = 56,135.12 × 22,772.80
  4. Step 4: Simplify right side
    40,677.84x = 1,278,353,860.74
  5. Step 5: Solve for x
    x = 1,278,353,860.74/40,677.84
  6. Step 6: Final answer
    x = 31,426.30

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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.