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Finding the Fourth Proportional to 32,205.30, 48,326.22 and 12,485.22

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Solution

The fourth proportional to 32,205.30, 48,326.22 and 12,485.22 is: 18,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205.30 : 48,326.22 = 12,485.22 : x
  2. Step 2: Convert to fraction form
    32,205.30/48,326.22 = 12,485.22/x
  3. Step 3: Cross multiply
    32,205.30x = 48,326.22 × 12,485.22
  4. Step 4: Simplify right side
    32,205.30x = 603,363,488.47
  5. Step 5: Solve for x
    x = 603,363,488.47/32,205.30
  6. Step 6: Final answer
    x = 18,734.91

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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.