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Finding the Fourth Proportional to 31,083.48, 46,625.13 and 7,709.90

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Solution

The fourth proportional to 31,083.48, 46,625.13 and 7,709.90 is: 11,564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,083.48 : 46,625.13 = 7,709.90 : x
  2. Step 2: Convert to fraction form
    31,083.48/46,625.13 = 7,709.90/x
  3. Step 3: Cross multiply
    31,083.48x = 46,625.13 × 7,709.90
  4. Step 4: Simplify right side
    31,083.48x = 359,474,856.66
  5. Step 5: Solve for x
    x = 359,474,856.66/31,083.48
  6. Step 6: Final answer
    x = 11,564.82

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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.