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Finding the Fourth Proportional to 32,005.30, 48,007.95 and 11,230.90

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Solution

The fourth proportional to 32,005.30, 48,007.95 and 11,230.90 is: 16,846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.30 : 48,007.95 = 11,230.90 : x
  2. Step 2: Convert to fraction form
    32,005.30/48,007.95 = 11,230.90/x
  3. Step 3: Cross multiply
    32,005.30x = 48,007.95 × 11,230.90
  4. Step 4: Simplify right side
    32,005.30x = 539,172,485.66
  5. Step 5: Solve for x
    x = 539,172,485.66/32,005.30
  6. Step 6: Final answer
    x = 16,846.35

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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.