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Finding the Fourth Proportional to 31,611.02, 47,419.34 and 8,237.66

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Solution

The fourth proportional to 31,611.02, 47,419.34 and 8,237.66 is: 12,357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,611.02 : 47,419.34 = 8,237.66 : x
  2. Step 2: Convert to fraction form
    31,611.02/47,419.34 = 8,237.66/x
  3. Step 3: Cross multiply
    31,611.02x = 47,419.34 × 8,237.66
  4. Step 4: Simplify right side
    31,611.02x = 390,624,122.06
  5. Step 5: Solve for x
    x = 390,624,122.06/31,611.02
  6. Step 6: Final answer
    x = 12,357.22

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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.