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Finding the Fourth Proportional to 31,238.64, 46,876.44 and 11,530.96

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Solution

The fourth proportional to 31,238.64, 46,876.44 and 11,530.96 is: 17,303.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,238.64 : 46,876.44 = 11,530.96 : x
  2. Step 2: Convert to fraction form
    31,238.64/46,876.44 = 11,530.96/x
  3. Step 3: Cross multiply
    31,238.64x = 46,876.44 × 11,530.96
  4. Step 4: Simplify right side
    31,238.64x = 540,530,354.58
  5. Step 5: Solve for x
    x = 540,530,354.58/31,238.64
  6. Step 6: Final answer
    x = 17,303.26

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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.