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Finding the Fourth Proportional to 20,548.80, 30,823.20 and 10,159.20

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Solution

The fourth proportional to 20,548.80, 30,823.20 and 10,159.20 is: 15,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,548.80 : 30,823.20 = 10,159.20 : x
  2. Step 2: Convert to fraction form
    20,548.80/30,823.20 = 10,159.20/x
  3. Step 3: Cross multiply
    20,548.80x = 30,823.20 × 10,159.20
  4. Step 4: Simplify right side
    20,548.80x = 313,139,053.44
  5. Step 5: Solve for x
    x = 313,139,053.44/20,548.80
  6. Step 6: Final answer
    x = 15,238.80

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1.5x scale

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.