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Finding the Fourth Proportional to 31,015.28, 46,523.01 and 7,641.71

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Solution

The fourth proportional to 31,015.28, 46,523.01 and 7,641.71 is: 11,462.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,015.28 : 46,523.01 = 7,641.71 : x
  2. Step 2: Convert to fraction form
    31,015.28/46,523.01 = 7,641.71/x
  3. Step 3: Cross multiply
    31,015.28x = 46,523.01 × 7,641.71
  4. Step 4: Simplify right side
    31,015.28x = 355,515,118.13
  5. Step 5: Solve for x
    x = 355,515,118.13/31,015.28
  6. Step 6: Final answer
    x = 11,462.58

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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.