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Finding the Fourth Proportional to 38,016.66, 57,028.18 and 14,007.50

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Solution

The fourth proportional to 38,016.66, 57,028.18 and 14,007.50 is: 21,012.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,016.66 : 57,028.18 = 14,007.50 : x
  2. Step 2: Convert to fraction form
    38,016.66/57,028.18 = 14,007.50/x
  3. Step 3: Cross multiply
    38,016.66x = 57,028.18 × 14,007.50
  4. Step 4: Simplify right side
    38,016.66x = 798,822,231.35
  5. Step 5: Solve for x
    x = 798,822,231.35/38,016.66
  6. Step 6: Final answer
    x = 21,012.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.