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Finding the Fourth Proportional to 30,343.20, 45,514.80 and 9,568.80

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Solution

The fourth proportional to 30,343.20, 45,514.80 and 9,568.80 is: 14,353.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,343.20 : 45,514.80 = 9,568.80 : x
  2. Step 2: Convert to fraction form
    30,343.20/45,514.80 = 9,568.80/x
  3. Step 3: Cross multiply
    30,343.20x = 45,514.80 × 9,568.80
  4. Step 4: Simplify right side
    30,343.20x = 435,522,018.24
  5. Step 5: Solve for x
    x = 435,522,018.24/30,343.20
  6. Step 6: Final answer
    x = 14,353.20

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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.