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Finding the Fourth Proportional to 40,822.42, 56,334.71 and 22,917.42

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Solution

The fourth proportional to 40,822.42, 56,334.71 and 22,917.42 is: 31,625.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,822.42 : 56,334.71 = 22,917.42 : x
  2. Step 2: Convert to fraction form
    40,822.42/56,334.71 = 22,917.42/x
  3. Step 3: Cross multiply
    40,822.42x = 56,334.71 × 22,917.42
  4. Step 4: Simplify right side
    40,822.42x = 1,291,046,209.65
  5. Step 5: Solve for x
    x = 1,291,046,209.65/40,822.42
  6. Step 6: Final answer
    x = 31,625.91

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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.