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Finding the Fourth Proportional to 99,138.42, 148,723.14 and 32,563.38

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Solution

The fourth proportional to 99,138.42, 148,723.14 and 32,563.38 is: 48,850.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,138.42 : 148,723.14 = 32,563.38 : x
  2. Step 2: Convert to fraction form
    99,138.42/148,723.14 = 32,563.38/x
  3. Step 3: Cross multiply
    99,138.42x = 148,723.14 × 32,563.38
  4. Step 4: Simplify right side
    99,138.42x = 4,842,928,122.61
  5. Step 5: Solve for x
    x = 4,842,928,122.61/99,138.42
  6. Step 6: Final answer
    x = 48,850.16

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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.