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Finding the Fourth Proportional to 96,286.34, 132,871.23 and 52,678.19

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Solution

The fourth proportional to 96,286.34, 132,871.23 and 52,678.19 is: 72,693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,286.34 : 132,871.23 = 52,678.19 : x
  2. Step 2: Convert to fraction form
    96,286.34/132,871.23 = 52,678.19/x
  3. Step 3: Cross multiply
    96,286.34x = 132,871.23 × 52,678.19
  4. Step 4: Simplify right side
    96,286.34x = 6,999,415,235.12
  5. Step 5: Solve for x
    x = 6,999,415,235.12/96,286.34
  6. Step 6: Final answer
    x = 72,693.75

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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.