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Finding the Fourth Proportional to 99,832.34, 137,771.47 and 54,513.20

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Solution

The fourth proportional to 99,832.34, 137,771.47 and 54,513.20 is: 75,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,832.34 : 137,771.47 = 54,513.20 : x
  2. Step 2: Convert to fraction form
    99,832.34/137,771.47 = 54,513.20/x
  3. Step 3: Cross multiply
    99,832.34x = 137,771.47 × 54,513.20
  4. Step 4: Simplify right side
    99,832.34x = 7,510,364,110.97
  5. Step 5: Solve for x
    x = 7,510,364,110.97/99,832.34
  6. Step 6: Final answer
    x = 75,229.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.