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Finding the Fourth Proportional to 69,836.34, 96,376.54 and 38,006.42

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Solution

The fourth proportional to 69,836.34, 96,376.54 and 38,006.42 is: 52,450.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,836.34 : 96,376.54 = 38,006.42 : x
  2. Step 2: Convert to fraction form
    69,836.34/96,376.54 = 38,006.42/x
  3. Step 3: Cross multiply
    69,836.34x = 96,376.54 × 38,006.42
  4. Step 4: Simplify right side
    69,836.34x = 3,662,927,257.39
  5. Step 5: Solve for x
    x = 3,662,927,257.39/69,836.34
  6. Step 6: Final answer
    x = 52,450.16

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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.