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Finding the Fourth Proportional to 85,327.44, 128,011.76 and 32,019.84

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Solution

The fourth proportional to 85,327.44, 128,011.76 and 32,019.84 is: 48,037.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,327.44 : 128,011.76 = 32,019.84 : x
  2. Step 2: Convert to fraction form
    85,327.44/128,011.76 = 32,019.84/x
  3. Step 3: Cross multiply
    85,327.44x = 128,011.76 × 32,019.84
  4. Step 4: Simplify right side
    85,327.44x = 4,098,916,073.32
  5. Step 5: Solve for x
    x = 4,098,916,073.32/85,327.44
  6. Step 6: Final answer
    x = 48,037.49

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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.