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Finding the Fourth Proportional to 81,455.81, 112,404.38 and 47,469.83

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Solution

The fourth proportional to 81,455.81, 112,404.38 and 47,469.83 is: 65,505.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,455.81 : 112,404.38 = 47,469.83 : x
  2. Step 2: Convert to fraction form
    81,455.81/112,404.38 = 47,469.83/x
  3. Step 3: Cross multiply
    81,455.81x = 112,404.38 × 47,469.83
  4. Step 4: Simplify right side
    81,455.81x = 5,335,817,043.29
  5. Step 5: Solve for x
    x = 5,335,817,043.29/81,455.81
  6. Step 6: Final answer
    x = 65,505.67

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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.