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Finding the Fourth Proportional to 20,235.80, 27,972.06 and 20,235.80

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Solution

The fourth proportional to 20,235.80, 27,972.06 and 20,235.80 is: 27,972.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,235.80 : 27,972.06 = 20,235.80 : x
  2. Step 2: Convert to fraction form
    20,235.80/27,972.06 = 20,235.80/x
  3. Step 3: Cross multiply
    20,235.80x = 27,972.06 × 20,235.80
  4. Step 4: Simplify right side
    20,235.80x = 566,037,011.75
  5. Step 5: Solve for x
    x = 566,037,011.75/20,235.80
  6. Step 6: Final answer
    x = 27,972.06

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1.5x scale

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.