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Finding the Fourth Proportional to 31,134.39, 46,701.18 and 7,761.03

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Solution

The fourth proportional to 31,134.39, 46,701.18 and 7,761.03 is: 11,641.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,134.39 : 46,701.18 = 7,761.03 : x
  2. Step 2: Convert to fraction form
    31,134.39/46,701.18 = 7,761.03/x
  3. Step 3: Cross multiply
    31,134.39x = 46,701.18 × 7,761.03
  4. Step 4: Simplify right side
    31,134.39x = 362,449,259.02
  5. Step 5: Solve for x
    x = 362,449,259.02/31,134.39
  6. Step 6: Final answer
    x = 11,641.44

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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.