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Finding the Fourth Proportional to 20,603.80, 30,872.70 and 20,057.08

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Solution

The fourth proportional to 20,603.80, 30,872.70 and 20,057.08 is: 30,053.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,603.80 : 30,872.70 = 20,057.08 : x
  2. Step 2: Convert to fraction form
    20,603.80/30,872.70 = 20,057.08/x
  3. Step 3: Cross multiply
    20,603.80x = 30,872.70 × 20,057.08
  4. Step 4: Simplify right side
    20,603.80x = 619,216,213.72
  5. Step 5: Solve for x
    x = 619,216,213.72/20,603.80
  6. Step 6: Final answer
    x = 30,053.50

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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.