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Finding the Fourth Proportional to 99,431.42, 137,215.32 and 54,719.42

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Solution

The fourth proportional to 99,431.42, 137,215.32 and 54,719.42 is: 75,512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,431.42 : 137,215.32 = 54,719.42 : x
  2. Step 2: Convert to fraction form
    99,431.42/137,215.32 = 54,719.42/x
  3. Step 3: Cross multiply
    99,431.42x = 137,215.32 × 54,719.42
  4. Step 4: Simplify right side
    99,431.42x = 7,508,342,725.51
  5. Step 5: Solve for x
    x = 7,508,342,725.51/99,431.42
  6. Step 6: Final answer
    x = 75,512.78

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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.