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Finding the Fourth Proportional to 33,881.40, 50,819.52 and 10,507.20

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Solution

The fourth proportional to 33,881.40, 50,819.52 and 10,507.20 is: 15,760.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,881.40 : 50,819.52 = 10,507.20 : x
  2. Step 2: Convert to fraction form
    33,881.40/50,819.52 = 10,507.20/x
  3. Step 3: Cross multiply
    33,881.40x = 50,819.52 × 10,507.20
  4. Step 4: Simplify right side
    33,881.40x = 533,970,860.54
  5. Step 5: Solve for x
    x = 533,970,860.54/33,881.40
  6. Step 6: Final answer
    x = 15,760.00

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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.