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Finding the Fourth Proportional to 64,061.14, 96,150.31 and 32,493

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Solution

The fourth proportional to 64,061.14, 96,150.31 and 32,493 is: 48,769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,061.14 : 96,150.31 = 32,493 : x
  2. Step 2: Convert to fraction form
    64,061.14/96,150.31 = 32,493/x
  3. Step 3: Cross multiply
    64,061.14x = 96,150.31 × 32,493
  4. Step 4: Simplify right side
    64,061.14x = 3,124,212,022.83
  5. Step 5: Solve for x
    x = 3,124,212,022.83/64,061.14
  6. Step 6: Final answer
    x = 48,769.22

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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.