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Finding the Fourth Proportional to 81,013, 121,573.50 and 31,134.28

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Solution

The fourth proportional to 81,013, 121,573.50 and 31,134.28 is: 46,722.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,013 : 121,573.50 = 31,134.28 : x
  2. Step 2: Convert to fraction form
    81,013/121,573.50 = 31,134.28/x
  3. Step 3: Cross multiply
    81,013x = 121,573.50 × 31,134.28
  4. Step 4: Simplify right side
    81,013x = 3,785,103,389.58
  5. Step 5: Solve for x
    x = 3,785,103,389.58/81,013
  6. Step 6: Final answer
    x = 46,722.17

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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.