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Finding the Fourth Proportional to 31,848, 47,770.08 and 9,661.44

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Solution

The fourth proportional to 31,848, 47,770.08 and 9,661.44 is: 14,491.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,848 : 47,770.08 = 9,661.44 : x
  2. Step 2: Convert to fraction form
    31,848/47,770.08 = 9,661.44/x
  3. Step 3: Cross multiply
    31,848x = 47,770.08 × 9,661.44
  4. Step 4: Simplify right side
    31,848x = 461,527,761.72
  5. Step 5: Solve for x
    x = 461,527,761.72/31,848
  6. Step 6: Final answer
    x = 14,491.58

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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.