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Finding the Fourth Proportional to 31,230.70, 46,858.20 and 13,688.17

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Solution

The fourth proportional to 31,230.70, 46,858.20 and 13,688.17 is: 20,537.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,230.70 : 46,858.20 = 13,688.17 : x
  2. Step 2: Convert to fraction form
    31,230.70/46,858.20 = 13,688.17/x
  3. Step 3: Cross multiply
    31,230.70x = 46,858.20 × 13,688.17
  4. Step 4: Simplify right side
    31,230.70x = 641,403,007.49
  5. Step 5: Solve for x
    x = 641,403,007.49/31,230.70
  6. Step 6: Final answer
    x = 20,537.58

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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.