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Finding the Fourth Proportional to 31,133.43, 46,700.31 and 7,759.86

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Solution

The fourth proportional to 31,133.43, 46,700.31 and 7,759.86 is: 11,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,133.43 : 46,700.31 = 7,759.86 : x
  2. Step 2: Convert to fraction form
    31,133.43/46,700.31 = 7,759.86/x
  3. Step 3: Cross multiply
    31,133.43x = 46,700.31 × 7,759.86
  4. Step 4: Simplify right side
    31,133.43x = 362,388,017.15
  5. Step 5: Solve for x
    x = 362,388,017.15/31,133.43
  6. Step 6: Final answer
    x = 11,639.84

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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.