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Finding the Fourth Proportional to 32,066.38, 48,102.18 and 9,879.76

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Solution

The fourth proportional to 32,066.38, 48,102.18 and 9,879.76 is: 14,820.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,066.38 : 48,102.18 = 9,879.76 : x
  2. Step 2: Convert to fraction form
    32,066.38/48,102.18 = 9,879.76/x
  3. Step 3: Cross multiply
    32,066.38x = 48,102.18 × 9,879.76
  4. Step 4: Simplify right side
    32,066.38x = 475,237,993.88
  5. Step 5: Solve for x
    x = 475,237,993.88/32,066.38
  6. Step 6: Final answer
    x = 14,820.44

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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.