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Finding the Fourth Proportional to 32,403.20, 48,623.93 and 13,682.00

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Solution

The fourth proportional to 32,403.20, 48,623.93 and 13,682.00 is: 20,531.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,403.20 : 48,623.93 = 13,682.00 : x
  2. Step 2: Convert to fraction form
    32,403.20/48,623.93 = 13,682.00/x
  3. Step 3: Cross multiply
    32,403.20x = 48,623.93 × 13,682.00
  4. Step 4: Simplify right side
    32,403.20x = 665,272,298.73
  5. Step 5: Solve for x
    x = 665,272,298.73/32,403.20
  6. Step 6: Final answer
    x = 20,531.07

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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.