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Finding the Fourth Proportional to 81,012.50, 121,572.75 and 31,133.78

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Solution

The fourth proportional to 81,012.50, 121,572.75 and 31,133.78 is: 46,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,012.50 : 121,572.75 = 31,133.78 : x
  2. Step 2: Convert to fraction form
    81,012.50/121,572.75 = 31,133.78/x
  3. Step 3: Cross multiply
    81,012.50x = 121,572.75 × 31,133.78
  4. Step 4: Simplify right side
    81,012.50x = 3,785,019,252.50
  5. Step 5: Solve for x
    x = 3,785,019,252.50/81,012.50
  6. Step 6: Final answer
    x = 46,721.42

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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.