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Finding the Fourth Proportional to 31,612.56, 47,413.17 and 11,891.76

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Solution

The fourth proportional to 31,612.56, 47,413.17 and 11,891.76 is: 17,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,612.56 : 47,413.17 = 11,891.76 : x
  2. Step 2: Convert to fraction form
    31,612.56/47,413.17 = 11,891.76/x
  3. Step 3: Cross multiply
    31,612.56x = 47,413.17 × 11,891.76
  4. Step 4: Simplify right side
    31,612.56x = 563,826,038.48
  5. Step 5: Solve for x
    x = 563,826,038.48/31,612.56
  6. Step 6: Final answer
    x = 17,835.51

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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.