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Finding the Fourth Proportional to 35,215.16, 52,822.34 and 8,561.30

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Solution

The fourth proportional to 35,215.16, 52,822.34 and 8,561.30 is: 12,841.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,215.16 : 52,822.34 = 8,561.30 : x
  2. Step 2: Convert to fraction form
    35,215.16/52,822.34 = 8,561.30/x
  3. Step 3: Cross multiply
    35,215.16x = 52,822.34 × 8,561.30
  4. Step 4: Simplify right side
    35,215.16x = 452,228,020.80
  5. Step 5: Solve for x
    x = 452,228,020.80/35,215.16
  6. Step 6: Final answer
    x = 12,841.86

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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.