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Finding the Fourth Proportional to 32,400.40, 48,593.31 and 11,623.90

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Solution

The fourth proportional to 32,400.40, 48,593.31 and 11,623.90 is: 17,433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,400.40 : 48,593.31 = 11,623.90 : x
  2. Step 2: Convert to fraction form
    32,400.40/48,593.31 = 11,623.90/x
  3. Step 3: Cross multiply
    32,400.40x = 48,593.31 × 11,623.90
  4. Step 4: Simplify right side
    32,400.40x = 564,843,776.11
  5. Step 5: Solve for x
    x = 564,843,776.11/32,400.40
  6. Step 6: Final answer
    x = 17,433.23

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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.