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Finding the Fourth Proportional to 81,099.41, 121,563 and 47,835.14

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Solution

The fourth proportional to 81,099.41, 121,563 and 47,835.14 is: 71,701.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,099.41 : 121,563 = 47,835.14 : x
  2. Step 2: Convert to fraction form
    81,099.41/121,563 = 47,835.14/x
  3. Step 3: Cross multiply
    81,099.41x = 121,563 × 47,835.14
  4. Step 4: Simplify right side
    81,099.41x = 5,814,983,123.82
  5. Step 5: Solve for x
    x = 5,814,983,123.82/81,099.41
  6. Step 6: Final answer
    x = 71,701.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.