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Finding the Fourth Proportional to 31,577, 47,352.24 and 14,034.92

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Solution

The fourth proportional to 31,577, 47,352.24 and 14,034.92 is: 21,046.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,577 : 47,352.24 = 14,034.92 : x
  2. Step 2: Convert to fraction form
    31,577/47,352.24 = 14,034.92/x
  3. Step 3: Cross multiply
    31,577x = 47,352.24 × 14,034.92
  4. Step 4: Simplify right side
    31,577x = 664,584,900.22
  5. Step 5: Solve for x
    x = 664,584,900.22/31,577
  6. Step 6: Final answer
    x = 21,046.49

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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.