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Finding the Fourth Proportional to 35,206.80, 48,586.38 and 21,409.11

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Solution

The fourth proportional to 35,206.80, 48,586.38 and 21,409.11 is: 29,545.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,206.80 : 48,586.38 = 21,409.11 : x
  2. Step 2: Convert to fraction form
    35,206.80/48,586.38 = 21,409.11/x
  3. Step 3: Cross multiply
    35,206.80x = 48,586.38 × 21,409.11
  4. Step 4: Simplify right side
    35,206.80x = 1,040,191,153.92
  5. Step 5: Solve for x
    x = 1,040,191,153.92/35,206.80
  6. Step 6: Final answer
    x = 29,545.18

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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.