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Finding the Fourth Proportional to 31,386.74, 47,083.22 and 10,318.24

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Solution

The fourth proportional to 31,386.74, 47,083.22 and 10,318.24 is: 15,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,386.74 : 47,083.22 = 10,318.24 : x
  2. Step 2: Convert to fraction form
    31,386.74/47,083.22 = 10,318.24/x
  3. Step 3: Cross multiply
    31,386.74x = 47,083.22 × 10,318.24
  4. Step 4: Simplify right side
    31,386.74x = 485,815,794.63
  5. Step 5: Solve for x
    x = 485,815,794.63/31,386.74
  6. Step 6: Final answer
    x = 15,478.38

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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.