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Finding the Fourth Proportional to 31,869.59, 47,802.56 and 12,150.14

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Solution

The fourth proportional to 31,869.59, 47,802.56 and 12,150.14 is: 18,224.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,869.59 : 47,802.56 = 12,150.14 : x
  2. Step 2: Convert to fraction form
    31,869.59/47,802.56 = 12,150.14/x
  3. Step 3: Cross multiply
    31,869.59x = 47,802.56 × 12,150.14
  4. Step 4: Simplify right side
    31,869.59x = 580,807,496.59
  5. Step 5: Solve for x
    x = 580,807,496.59/31,869.59
  6. Step 6: Final answer
    x = 18,224.51

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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.