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Finding the Fourth Proportional to 31,871.16, 47,809.84 and 11,613.42

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Solution

The fourth proportional to 31,871.16, 47,809.84 and 11,613.42 is: 17,421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,871.16 : 47,809.84 = 11,613.42 : x
  2. Step 2: Convert to fraction form
    31,871.16/47,809.84 = 11,613.42/x
  3. Step 3: Cross multiply
    31,871.16x = 47,809.84 × 11,613.42
  4. Step 4: Simplify right side
    31,871.16x = 555,235,752.05
  5. Step 5: Solve for x
    x = 555,235,752.05/31,871.16
  6. Step 6: Final answer
    x = 17,421.26

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