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Finding the Fourth Proportional to 40,871.64, 56,405.38 and 22,966.64

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Solution

The fourth proportional to 40,871.64, 56,405.38 and 22,966.64 is: 31,695.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,871.64 : 56,405.38 = 22,966.64 : x
  2. Step 2: Convert to fraction form
    40,871.64/56,405.38 = 22,966.64/x
  3. Step 3: Cross multiply
    40,871.64x = 56,405.38 × 22,966.64
  4. Step 4: Simplify right side
    40,871.64x = 1,295,442,056.52
  5. Step 5: Solve for x
    x = 1,295,442,056.52/40,871.64
  6. Step 6: Final answer
    x = 31,695.38

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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.