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Finding the Fourth Proportional to 31,154.50, 46,731.75 and 9,266.50

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Solution

The fourth proportional to 31,154.50, 46,731.75 and 9,266.50 is: 13,899.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,154.50 : 46,731.75 = 9,266.50 : x
  2. Step 2: Convert to fraction form
    31,154.50/46,731.75 = 9,266.50/x
  3. Step 3: Cross multiply
    31,154.50x = 46,731.75 × 9,266.50
  4. Step 4: Simplify right side
    31,154.50x = 433,039,761.38
  5. Step 5: Solve for x
    x = 433,039,761.38/31,154.50
  6. Step 6: Final answer
    x = 13,899.75

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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.