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Finding the Fourth Proportional to 47,344.97, 71,012.21 and 16,948.89

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Solution

The fourth proportional to 47,344.97, 71,012.21 and 16,948.89 is: 25,421.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,344.97 : 71,012.21 = 16,948.89 : x
  2. Step 2: Convert to fraction form
    47,344.97/71,012.21 = 16,948.89/x
  3. Step 3: Cross multiply
    47,344.97x = 71,012.21 × 16,948.89
  4. Step 4: Simplify right side
    47,344.97x = 1,203,578,051.20
  5. Step 5: Solve for x
    x = 1,203,578,051.20/47,344.97
  6. Step 6: Final answer
    x = 25,421.46

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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.