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Finding the Fourth Proportional to 31,009.78, 46,521.90 and 10,233.28

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Solution

The fourth proportional to 31,009.78, 46,521.90 and 10,233.28 is: 15,352.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,009.78 : 46,521.90 = 10,233.28 : x
  2. Step 2: Convert to fraction form
    31,009.78/46,521.90 = 10,233.28/x
  3. Step 3: Cross multiply
    31,009.78x = 46,521.90 × 10,233.28
  4. Step 4: Simplify right side
    31,009.78x = 476,071,628.83
  5. Step 5: Solve for x
    x = 476,071,628.83/31,009.78
  6. Step 6: Final answer
    x = 15,352.31

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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.