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Finding the Fourth Proportional to 43,871.22, 65,809.08 and 12,281.22

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Solution

The fourth proportional to 43,871.22, 65,809.08 and 12,281.22 is: 18,422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,871.22 : 65,809.08 = 12,281.22 : x
  2. Step 2: Convert to fraction form
    43,871.22/65,809.08 = 12,281.22/x
  3. Step 3: Cross multiply
    43,871.22x = 65,809.08 × 12,281.22
  4. Step 4: Simplify right side
    43,871.22x = 808,215,789.48
  5. Step 5: Solve for x
    x = 808,215,789.48/43,871.22
  6. Step 6: Final answer
    x = 18,422.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.