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Finding the Fourth Proportional to 31,310.67, 46,965.96 and 7,618.06

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Solution

The fourth proportional to 31,310.67, 46,965.96 and 7,618.06 is: 11,427.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,310.67 : 46,965.96 = 7,618.06 : x
  2. Step 2: Convert to fraction form
    31,310.67/46,965.96 = 7,618.06/x
  3. Step 3: Cross multiply
    31,310.67x = 46,965.96 × 7,618.06
  4. Step 4: Simplify right side
    31,310.67x = 357,789,501.24
  5. Step 5: Solve for x
    x = 357,789,501.24/31,310.67
  6. Step 6: Final answer
    x = 11,427.08

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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.