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Finding the Fourth Proportional to 31,241.96, 46,804.09 and 15,428.48

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Solution

The fourth proportional to 31,241.96, 46,804.09 and 15,428.48 is: 23,113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,241.96 : 46,804.09 = 15,428.48 : x
  2. Step 2: Convert to fraction form
    31,241.96/46,804.09 = 15,428.48/x
  3. Step 3: Cross multiply
    31,241.96x = 46,804.09 × 15,428.48
  4. Step 4: Simplify right side
    31,241.96x = 722,116,044.92
  5. Step 5: Solve for x
    x = 722,116,044.92/31,241.96
  6. Step 6: Final answer
    x = 23,113.66

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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.