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Finding the Fourth Proportional to 33,598.53, 50,393.89 and 12,539.30

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Solution

The fourth proportional to 33,598.53, 50,393.89 and 12,539.30 is: 18,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,598.53 : 50,393.89 = 12,539.30 : x
  2. Step 2: Convert to fraction form
    33,598.53/50,393.89 = 12,539.30/x
  3. Step 3: Cross multiply
    33,598.53x = 50,393.89 × 12,539.30
  4. Step 4: Simplify right side
    33,598.53x = 631,904,246.54
  5. Step 5: Solve for x
    x = 631,904,246.54/33,598.53
  6. Step 6: Final answer
    x = 18,807.50

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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.