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Finding the Fourth Proportional to 33,429, 50,144.14 and 15,649.80

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Solution

The fourth proportional to 33,429, 50,144.14 and 15,649.80 is: 23,475.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,429 : 50,144.14 = 15,649.80 : x
  2. Step 2: Convert to fraction form
    33,429/50,144.14 = 15,649.80/x
  3. Step 3: Cross multiply
    33,429x = 50,144.14 × 15,649.80
  4. Step 4: Simplify right side
    33,429x = 784,745,762.17
  5. Step 5: Solve for x
    x = 784,745,762.17/33,429
  6. Step 6: Final answer
    x = 23,475.00

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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.