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Finding the Fourth Proportional to 20,209.80, 30,314.70 and 19,432.20

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Solution

The fourth proportional to 20,209.80, 30,314.70 and 19,432.20 is: 29,148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,209.80 : 30,314.70 = 19,432.20 : x
  2. Step 2: Convert to fraction form
    20,209.80/30,314.70 = 19,432.20/x
  3. Step 3: Cross multiply
    20,209.80x = 30,314.70 × 19,432.20
  4. Step 4: Simplify right side
    20,209.80x = 589,081,313.34
  5. Step 5: Solve for x
    x = 589,081,313.34/20,209.80
  6. Step 6: Final answer
    x = 29,148.30

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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.