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Finding the Fourth Proportional to 33,095.60, 49,643.40 and 8,471.60

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Solution

The fourth proportional to 33,095.60, 49,643.40 and 8,471.60 is: 12,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,095.60 : 49,643.40 = 8,471.60 : x
  2. Step 2: Convert to fraction form
    33,095.60/49,643.40 = 8,471.60/x
  3. Step 3: Cross multiply
    33,095.60x = 49,643.40 × 8,471.60
  4. Step 4: Simplify right side
    33,095.60x = 420,559,027.44
  5. Step 5: Solve for x
    x = 420,559,027.44/33,095.60
  6. Step 6: Final answer
    x = 12,707.40

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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.