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Finding the Fourth Proportional to 31,228.49, 46,890.26 and 27,277.49

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Solution

The fourth proportional to 31,228.49, 46,890.26 and 27,277.49 is: 40,957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,228.49 : 46,890.26 = 27,277.49 : x
  2. Step 2: Convert to fraction form
    31,228.49/46,890.26 = 27,277.49/x
  3. Step 3: Cross multiply
    31,228.49x = 46,890.26 × 27,277.49
  4. Step 4: Simplify right side
    31,228.49x = 1,279,048,681.38
  5. Step 5: Solve for x
    x = 1,279,048,681.38/31,228.49
  6. Step 6: Final answer
    x = 40,957.75

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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.