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Finding the Fourth Proportional to 69,654.65, 96,122.56 and 37,823.77

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Solution

The fourth proportional to 69,654.65, 96,122.56 and 37,823.77 is: 52,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,654.65 : 96,122.56 = 37,823.77 : x
  2. Step 2: Convert to fraction form
    69,654.65/96,122.56 = 37,823.77/x
  3. Step 3: Cross multiply
    69,654.65x = 96,122.56 × 37,823.77
  4. Step 4: Simplify right side
    69,654.65x = 3,635,717,601.25
  5. Step 5: Solve for x
    x = 3,635,717,601.25/69,654.65
  6. Step 6: Final answer
    x = 52,196.34

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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.