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Finding the Fourth Proportional to 32,400.15, 48,605.45 and 13,682.99

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Solution

The fourth proportional to 32,400.15, 48,605.45 and 13,682.99 is: 20,526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,400.15 : 48,605.45 = 13,682.99 : x
  2. Step 2: Convert to fraction form
    32,400.15/48,605.45 = 13,682.99/x
  3. Step 3: Cross multiply
    32,400.15x = 48,605.45 × 13,682.99
  4. Step 4: Simplify right side
    32,400.15x = 665,067,574.85
  5. Step 5: Solve for x
    x = 665,067,574.85/32,400.15
  6. Step 6: Final answer
    x = 20,526.68

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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.