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Finding the Fourth Proportional to 30,200.40, 45,349.20 and 21,938.40

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Solution

The fourth proportional to 30,200.40, 45,349.20 and 21,938.40 is: 32,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.40 : 45,349.20 = 21,938.40 : x
  2. Step 2: Convert to fraction form
    30,200.40/45,349.20 = 21,938.40/x
  3. Step 3: Cross multiply
    30,200.40x = 45,349.20 × 21,938.40
  4. Step 4: Simplify right side
    30,200.40x = 994,888,889.28
  5. Step 5: Solve for x
    x = 994,888,889.28/30,200.40
  6. Step 6: Final answer
    x = 32,942.90

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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.