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Finding the Fourth Proportional to 42,735.84, 64,037.54 and 32,194.50

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Solution

The fourth proportional to 42,735.84, 64,037.54 and 32,194.50 is: 48,241.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,735.84 : 64,037.54 = 32,194.50 : x
  2. Step 2: Convert to fraction form
    42,735.84/64,037.54 = 32,194.50/x
  3. Step 3: Cross multiply
    42,735.84x = 64,037.54 × 32,194.50
  4. Step 4: Simplify right side
    42,735.84x = 2,061,656,581.53
  5. Step 5: Solve for x
    x = 2,061,656,581.53/42,735.84
  6. Step 6: Final answer
    x = 48,241.86

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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.