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Finding the Fourth Proportional to 63,189.70, 87,197.84 and 34,896

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Solution

The fourth proportional to 63,189.70, 87,197.84 and 34,896 is: 48,154.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,189.70 : 87,197.84 = 34,896 : x
  2. Step 2: Convert to fraction form
    63,189.70/87,197.84 = 34,896/x
  3. Step 3: Cross multiply
    63,189.70x = 87,197.84 × 34,896
  4. Step 4: Simplify right side
    63,189.70x = 3,042,855,824.64
  5. Step 5: Solve for x
    x = 3,042,855,824.64/63,189.70
  6. Step 6: Final answer
    x = 48,154.30

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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.