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Finding the Fourth Proportional to 40,871.56, 56,406.02 and 22,967.40

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Solution

The fourth proportional to 40,871.56, 56,406.02 and 22,967.40 is: 31,696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,871.56 : 56,406.02 = 22,967.40 : x
  2. Step 2: Convert to fraction form
    40,871.56/56,406.02 = 22,967.40/x
  3. Step 3: Cross multiply
    40,871.56x = 56,406.02 × 22,967.40
  4. Step 4: Simplify right side
    40,871.56x = 1,295,499,623.75
  5. Step 5: Solve for x
    x = 1,295,499,623.75/40,871.56
  6. Step 6: Final answer
    x = 31,696.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.