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Finding the Fourth Proportional to 32,843.16, 49,263.66 and 9,471.96

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Solution

The fourth proportional to 32,843.16, 49,263.66 and 9,471.96 is: 14,207.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,843.16 : 49,263.66 = 9,471.96 : x
  2. Step 2: Convert to fraction form
    32,843.16/49,263.66 = 9,471.96/x
  3. Step 3: Cross multiply
    32,843.16x = 49,263.66 × 9,471.96
  4. Step 4: Simplify right side
    32,843.16x = 466,623,416.97
  5. Step 5: Solve for x
    x = 466,623,416.97/32,843.16
  6. Step 6: Final answer
    x = 14,207.63

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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.