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Finding the Fourth Proportional to 31,122.60, 46,673.74 and 10,057.69

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Solution

The fourth proportional to 31,122.60, 46,673.74 and 10,057.69 is: 15,083.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,122.60 : 46,673.74 = 10,057.69 : x
  2. Step 2: Convert to fraction form
    31,122.60/46,673.74 = 10,057.69/x
  3. Step 3: Cross multiply
    31,122.60x = 46,673.74 × 10,057.69
  4. Step 4: Simplify right side
    31,122.60x = 469,430,078.97
  5. Step 5: Solve for x
    x = 469,430,078.97/31,122.60
  6. Step 6: Final answer
    x = 15,083.25

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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.