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Finding the Fourth Proportional to 32,581.92, 48,876 and 9,208.80

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Solution

The fourth proportional to 32,581.92, 48,876 and 9,208.80 is: 13,814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,581.92 : 48,876 = 9,208.80 : x
  2. Step 2: Convert to fraction form
    32,581.92/48,876 = 9,208.80/x
  3. Step 3: Cross multiply
    32,581.92x = 48,876 × 9,208.80
  4. Step 4: Simplify right side
    32,581.92x = 450,089,308.80
  5. Step 5: Solve for x
    x = 450,089,308.80/32,581.92
  6. Step 6: Final answer
    x = 13,814.08

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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.