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Finding the Fourth Proportional to 31,102.33, 46,652.07 and 10,043.34

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Solution

The fourth proportional to 31,102.33, 46,652.07 and 10,043.34 is: 15,064.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,102.33 : 46,652.07 = 10,043.34 : x
  2. Step 2: Convert to fraction form
    31,102.33/46,652.07 = 10,043.34/x
  3. Step 3: Cross multiply
    31,102.33x = 46,652.07 × 10,043.34
  4. Step 4: Simplify right side
    31,102.33x = 468,542,600.71
  5. Step 5: Solve for x
    x = 468,542,600.71/31,102.33
  6. Step 6: Final answer
    x = 15,064.55

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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.