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Finding the Fourth Proportional to 32,623.40, 48,943.31 and 9,249.86

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Solution

The fourth proportional to 32,623.40, 48,943.31 and 9,249.86 is: 13,877.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,623.40 : 48,943.31 = 9,249.86 : x
  2. Step 2: Convert to fraction form
    32,623.40/48,943.31 = 9,249.86/x
  3. Step 3: Cross multiply
    32,623.40x = 48,943.31 × 9,249.86
  4. Step 4: Simplify right side
    32,623.40x = 452,718,474.47
  5. Step 5: Solve for x
    x = 452,718,474.47/32,623.40
  6. Step 6: Final answer
    x = 13,877.11

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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.