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Finding the Fourth Proportional to 31,321.95, 46,989.83 and 9,137.06

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Solution

The fourth proportional to 31,321.95, 46,989.83 and 9,137.06 is: 13,707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,321.95 : 46,989.83 = 9,137.06 : x
  2. Step 2: Convert to fraction form
    31,321.95/46,989.83 = 9,137.06/x
  3. Step 3: Cross multiply
    31,321.95x = 46,989.83 × 9,137.06
  4. Step 4: Simplify right side
    31,321.95x = 429,348,896.10
  5. Step 5: Solve for x
    x = 429,348,896.10/31,321.95
  6. Step 6: Final answer
    x = 13,707.61

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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.