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Finding the Fourth Proportional to 32,221.80, 48,350.32 and 12,501.14

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Solution

The fourth proportional to 32,221.80, 48,350.32 and 12,501.14 is: 18,758.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,221.80 : 48,350.32 = 12,501.14 : x
  2. Step 2: Convert to fraction form
    32,221.80/48,350.32 = 12,501.14/x
  3. Step 3: Cross multiply
    32,221.80x = 48,350.32 × 12,501.14
  4. Step 4: Simplify right side
    32,221.80x = 604,433,846.36
  5. Step 5: Solve for x
    x = 604,433,846.36/32,221.80
  6. Step 6: Final answer
    x = 18,758.54

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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.