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Finding the Fourth Proportional to 32,400.36, 48,603.24 and 9,026.64

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Solution

The fourth proportional to 32,400.36, 48,603.24 and 9,026.64 is: 13,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,400.36 : 48,603.24 = 9,026.64 : x
  2. Step 2: Convert to fraction form
    32,400.36/48,603.24 = 9,026.64/x
  3. Step 3: Cross multiply
    32,400.36x = 48,603.24 × 9,026.64
  4. Step 4: Simplify right side
    32,400.36x = 438,723,950.31
  5. Step 5: Solve for x
    x = 438,723,950.31/32,400.36
  6. Step 6: Final answer
    x = 13,540.71

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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.