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Finding the Fourth Proportional to 31,757.47, 47,594.68 and 13,015.56

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Solution

The fourth proportional to 31,757.47, 47,594.68 and 13,015.56 is: 19,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,757.47 : 47,594.68 = 13,015.56 : x
  2. Step 2: Convert to fraction form
    31,757.47/47,594.68 = 13,015.56/x
  3. Step 3: Cross multiply
    31,757.47x = 47,594.68 × 13,015.56
  4. Step 4: Simplify right side
    31,757.47x = 619,471,413.22
  5. Step 5: Solve for x
    x = 619,471,413.22/31,757.47
  6. Step 6: Final answer
    x = 19,506.32

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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.