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Finding the Fourth Proportional to 32,500.89, 48,751.32 and 7,876.89

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Solution

The fourth proportional to 32,500.89, 48,751.32 and 7,876.89 is: 11,815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,500.89 : 48,751.32 = 7,876.89 : x
  2. Step 2: Convert to fraction form
    32,500.89/48,751.32 = 7,876.89/x
  3. Step 3: Cross multiply
    32,500.89x = 48,751.32 × 7,876.89
  4. Step 4: Simplify right side
    32,500.89x = 384,008,784.99
  5. Step 5: Solve for x
    x = 384,008,784.99/32,500.89
  6. Step 6: Final answer
    x = 11,815.33

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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.