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Finding the Fourth Proportional to 28,564.80, 42,847.20 and 20,254.20

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Solution

The fourth proportional to 28,564.80, 42,847.20 and 20,254.20 is: 30,381.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,564.80 : 42,847.20 = 20,254.20 : x
  2. Step 2: Convert to fraction form
    28,564.80/42,847.20 = 20,254.20/x
  3. Step 3: Cross multiply
    28,564.80x = 42,847.20 × 20,254.20
  4. Step 4: Simplify right side
    28,564.80x = 867,835,758.24
  5. Step 5: Solve for x
    x = 867,835,758.24/28,564.80
  6. Step 6: Final answer
    x = 30,381.30

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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.