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Finding the Fourth Proportional to 31,125.80, 46,688.67 and 11,405.90

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Solution

The fourth proportional to 31,125.80, 46,688.67 and 11,405.90 is: 17,108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,125.80 : 46,688.67 = 11,405.90 : x
  2. Step 2: Convert to fraction form
    31,125.80/46,688.67 = 11,405.90/x
  3. Step 3: Cross multiply
    31,125.80x = 46,688.67 × 11,405.90
  4. Step 4: Simplify right side
    31,125.80x = 532,526,067.71
  5. Step 5: Solve for x
    x = 532,526,067.71/31,125.80
  6. Step 6: Final answer
    x = 17,108.83

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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.