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Finding the Fourth Proportional to 30,201.40, 45,302.10 and 18,974.80

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Solution

The fourth proportional to 30,201.40, 45,302.10 and 18,974.80 is: 28,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.40 : 45,302.10 = 18,974.80 : x
  2. Step 2: Convert to fraction form
    30,201.40/45,302.10 = 18,974.80/x
  3. Step 3: Cross multiply
    30,201.40x = 45,302.10 × 18,974.80
  4. Step 4: Simplify right side
    30,201.40x = 859,598,287.08
  5. Step 5: Solve for x
    x = 859,598,287.08/30,201.40
  6. Step 6: Final answer
    x = 28,462.20

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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.