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Finding the Fourth Proportional to 33,670.53, 50,511.47 and 10,291.50

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Solution

The fourth proportional to 33,670.53, 50,511.47 and 10,291.50 is: 15,438.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,670.53 : 50,511.47 = 10,291.50 : x
  2. Step 2: Convert to fraction form
    33,670.53/50,511.47 = 10,291.50/x
  3. Step 3: Cross multiply
    33,670.53x = 50,511.47 × 10,291.50
  4. Step 4: Simplify right side
    33,670.53x = 519,838,742.05
  5. Step 5: Solve for x
    x = 519,838,742.05/33,670.53
  6. Step 6: Final answer
    x = 15,438.98

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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.