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Finding the Fourth Proportional to 33,657.60, 50,486.40 and 9,965.10

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Solution

The fourth proportional to 33,657.60, 50,486.40 and 9,965.10 is: 14,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,657.60 : 50,486.40 = 9,965.10 : x
  2. Step 2: Convert to fraction form
    33,657.60/50,486.40 = 9,965.10/x
  3. Step 3: Cross multiply
    33,657.60x = 50,486.40 × 9,965.10
  4. Step 4: Simplify right side
    33,657.60x = 503,102,024.64
  5. Step 5: Solve for x
    x = 503,102,024.64/33,657.60
  6. Step 6: Final answer
    x = 14,947.65

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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.