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Finding the Fourth Proportional to 31,202.44, 46,794.42 and 9,016.02

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Solution

The fourth proportional to 31,202.44, 46,794.42 and 9,016.02 is: 13,521.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,202.44 : 46,794.42 = 9,016.02 : x
  2. Step 2: Convert to fraction form
    31,202.44/46,794.42 = 9,016.02/x
  3. Step 3: Cross multiply
    31,202.44x = 46,794.42 × 9,016.02
  4. Step 4: Simplify right side
    31,202.44x = 421,899,426.61
  5. Step 5: Solve for x
    x = 421,899,426.61/31,202.44
  6. Step 6: Final answer
    x = 13,521.36

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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.