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Finding the Fourth Proportional to 33,477.48, 50,219.47 and 9,784.50

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Solution

The fourth proportional to 33,477.48, 50,219.47 and 9,784.50 is: 14,677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,477.48 : 50,219.47 = 9,784.50 : x
  2. Step 2: Convert to fraction form
    33,477.48/50,219.47 = 9,784.50/x
  3. Step 3: Cross multiply
    33,477.48x = 50,219.47 × 9,784.50
  4. Step 4: Simplify right side
    33,477.48x = 491,372,104.20
  5. Step 5: Solve for x
    x = 491,372,104.20/33,477.48
  6. Step 6: Final answer
    x = 14,677.69

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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.