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Finding the Fourth Proportional to 63,184.30, 87,193.16 and 34,889.38

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Solution

The fourth proportional to 63,184.30, 87,193.16 and 34,889.38 is: 48,146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,184.30 : 87,193.16 = 34,889.38 : x
  2. Step 2: Convert to fraction form
    63,184.30/87,193.16 = 34,889.38/x
  3. Step 3: Cross multiply
    63,184.30x = 87,193.16 × 34,889.38
  4. Step 4: Simplify right side
    63,184.30x = 3,042,114,856.68
  5. Step 5: Solve for x
    x = 3,042,114,856.68/63,184.30
  6. Step 6: Final answer
    x = 48,146.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.