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Finding the Fourth Proportional to 33,590.52, 50,383.74 and 12,526.50

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Solution

The fourth proportional to 33,590.52, 50,383.74 and 12,526.50 is: 18,788.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,590.52 : 50,383.74 = 12,526.50 : x
  2. Step 2: Convert to fraction form
    33,590.52/50,383.74 = 12,526.50/x
  3. Step 3: Cross multiply
    33,590.52x = 50,383.74 × 12,526.50
  4. Step 4: Simplify right side
    33,590.52x = 631,131,919.11
  5. Step 5: Solve for x
    x = 631,131,919.11/33,590.52
  6. Step 6: Final answer
    x = 18,788.99

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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.