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Finding the Fourth Proportional to 47,881.44, 71,822.16 and 15,049.44

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Solution

The fourth proportional to 47,881.44, 71,822.16 and 15,049.44 is: 22,574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,881.44 : 71,822.16 = 15,049.44 : x
  2. Step 2: Convert to fraction form
    47,881.44/71,822.16 = 15,049.44/x
  3. Step 3: Cross multiply
    47,881.44x = 71,822.16 × 15,049.44
  4. Step 4: Simplify right side
    47,881.44x = 1,080,883,212.34
  5. Step 5: Solve for x
    x = 1,080,883,212.34/47,881.44
  6. Step 6: Final answer
    x = 22,574.16

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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.