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Finding the Fourth Proportional to 52,197.30, 71,999.43 and 30,961.50

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Solution

The fourth proportional to 52,197.30, 71,999.43 and 30,961.50 is: 42,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,197.30 : 71,999.43 = 30,961.50 : x
  2. Step 2: Convert to fraction form
    52,197.30/71,999.43 = 30,961.50/x
  3. Step 3: Cross multiply
    52,197.30x = 71,999.43 × 30,961.50
  4. Step 4: Simplify right side
    52,197.30x = 2,229,210,351.95
  5. Step 5: Solve for x
    x = 2,229,210,351.95/52,197.30
  6. Step 6: Final answer
    x = 42,707.39

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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.