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Finding the Fourth Proportional to 31,267.76, 46,902.24 and 11,536.16

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Solution

The fourth proportional to 31,267.76, 46,902.24 and 11,536.16 is: 17,304.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,267.76 : 46,902.24 = 11,536.16 : x
  2. Step 2: Convert to fraction form
    31,267.76/46,902.24 = 11,536.16/x
  3. Step 3: Cross multiply
    31,267.76x = 46,902.24 × 11,536.16
  4. Step 4: Simplify right side
    31,267.76x = 541,071,745.00
  5. Step 5: Solve for x
    x = 541,071,745.00/31,267.76
  6. Step 6: Final answer
    x = 17,304.46

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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.