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Finding the Fourth Proportional to 31,832.87, 47,754.49 and 9,641.05

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Solution

The fourth proportional to 31,832.87, 47,754.49 and 9,641.05 is: 14,463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,832.87 : 47,754.49 = 9,641.05 : x
  2. Step 2: Convert to fraction form
    31,832.87/47,754.49 = 9,641.05/x
  3. Step 3: Cross multiply
    31,832.87x = 47,754.49 × 9,641.05
  4. Step 4: Simplify right side
    31,832.87x = 460,403,407.60
  5. Step 5: Solve for x
    x = 460,403,407.60/31,832.87
  6. Step 6: Final answer
    x = 14,463.14

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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.