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Finding the Fourth Proportional to 33,830.30, 50,748.65 and 9,206.30

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Solution

The fourth proportional to 33,830.30, 50,748.65 and 9,206.30 is: 13,810.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,830.30 : 50,748.65 = 9,206.30 : x
  2. Step 2: Convert to fraction form
    33,830.30/50,748.65 = 9,206.30/x
  3. Step 3: Cross multiply
    33,830.30x = 50,748.65 × 9,206.30
  4. Step 4: Simplify right side
    33,830.30x = 467,207,296.50
  5. Step 5: Solve for x
    x = 467,207,296.50/33,830.30
  6. Step 6: Final answer
    x = 13,810.32

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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.