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Finding the Fourth Proportional to 82,594.72, 113,971.04 and 48,595.73

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Solution

The fourth proportional to 82,594.72, 113,971.04 and 48,595.73 is: 67,056.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,594.72 : 113,971.04 = 48,595.73 : x
  2. Step 2: Convert to fraction form
    82,594.72/113,971.04 = 48,595.73/x
  3. Step 3: Cross multiply
    82,594.72x = 113,971.04 × 48,595.73
  4. Step 4: Simplify right side
    82,594.72x = 5,538,505,644.68
  5. Step 5: Solve for x
    x = 5,538,505,644.68/82,594.72
  6. Step 6: Final answer
    x = 67,056.42

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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.