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Finding the Fourth Proportional to 20,200.59, 30,300.41 and 5,409.50

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Solution

The fourth proportional to 20,200.59, 30,300.41 and 5,409.50 is: 8,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.59 : 30,300.41 = 5,409.50 : x
  2. Step 2: Convert to fraction form
    20,200.59/30,300.41 = 5,409.50/x
  3. Step 3: Cross multiply
    20,200.59x = 30,300.41 × 5,409.50
  4. Step 4: Simplify right side
    20,200.59x = 163,909,889.35
  5. Step 5: Solve for x
    x = 163,909,889.35/20,200.59
  6. Step 6: Final answer
    x = 8,114.11

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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.