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Finding the Fourth Proportional to 23,231.88, 34,848 and 5,701.86

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Solution

The fourth proportional to 23,231.88, 34,848 and 5,701.86 is: 8,552.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,231.88 : 34,848 = 5,701.86 : x
  2. Step 2: Convert to fraction form
    23,231.88/34,848 = 5,701.86/x
  3. Step 3: Cross multiply
    23,231.88x = 34,848 × 5,701.86
  4. Step 4: Simplify right side
    23,231.88x = 198,698,417.28
  5. Step 5: Solve for x
    x = 198,698,417.28/23,231.88
  6. Step 6: Final answer
    x = 8,552.83

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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.