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Finding the Fourth Proportional to 33,642.90, 50,462.52 and 10,267.50

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Solution

The fourth proportional to 33,642.90, 50,462.52 and 10,267.50 is: 15,400.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,642.90 : 50,462.52 = 10,267.50 : x
  2. Step 2: Convert to fraction form
    33,642.90/50,462.52 = 10,267.50/x
  3. Step 3: Cross multiply
    33,642.90x = 50,462.52 × 10,267.50
  4. Step 4: Simplify right side
    33,642.90x = 518,123,924.10
  5. Step 5: Solve for x
    x = 518,123,924.10/33,642.90
  6. Step 6: Final answer
    x = 15,400.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.