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Finding the Fourth Proportional to 23,142, 34,713.10 and 5,611.86

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Solution

The fourth proportional to 23,142, 34,713.10 and 5,611.86 is: 8,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142 : 34,713.10 = 5,611.86 : x
  2. Step 2: Convert to fraction form
    23,142/34,713.10 = 5,611.86/x
  3. Step 3: Cross multiply
    23,142x = 34,713.10 × 5,611.86
  4. Step 4: Simplify right side
    23,142x = 194,805,057.37
  5. Step 5: Solve for x
    x = 194,805,057.37/23,142
  6. Step 6: Final answer
    x = 8,417.81

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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.