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Finding the Fourth Proportional to 31,086.90, 46,632.51 and 8,900.46

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Solution

The fourth proportional to 31,086.90, 46,632.51 and 8,900.46 is: 13,351.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,086.90 : 46,632.51 = 8,900.46 : x
  2. Step 2: Convert to fraction form
    31,086.90/46,632.51 = 8,900.46/x
  3. Step 3: Cross multiply
    31,086.90x = 46,632.51 × 8,900.46
  4. Step 4: Simplify right side
    31,086.90x = 415,050,789.95
  5. Step 5: Solve for x
    x = 415,050,789.95/31,086.90
  6. Step 6: Final answer
    x = 13,351.31

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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.