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Finding the Fourth Proportional to 31,046.67, 46,570.02 and 10,270.17

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Solution

The fourth proportional to 31,046.67, 46,570.02 and 10,270.17 is: 15,405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,046.67 : 46,570.02 = 10,270.17 : x
  2. Step 2: Convert to fraction form
    31,046.67/46,570.02 = 10,270.17/x
  3. Step 3: Cross multiply
    31,046.67x = 46,570.02 × 10,270.17
  4. Step 4: Simplify right side
    31,046.67x = 478,282,022.30
  5. Step 5: Solve for x
    x = 478,282,022.30/31,046.67
  6. Step 6: Final answer
    x = 15,405.26

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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.