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Finding the Fourth Proportional to 102,142.89, 153,214.34 and 32,027.85

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Solution

The fourth proportional to 102,142.89, 153,214.34 and 32,027.85 is: 48,041.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,142.89 : 153,214.34 = 32,027.85 : x
  2. Step 2: Convert to fraction form
    102,142.89/153,214.34 = 32,027.85/x
  3. Step 3: Cross multiply
    102,142.89x = 153,214.34 × 32,027.85
  4. Step 4: Simplify right side
    102,142.89x = 4,907,125,739.23
  5. Step 5: Solve for x
    x = 4,907,125,739.23/102,142.89
  6. Step 6: Final answer
    x = 48,041.78

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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.