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Finding the Fourth Proportional to 31,152.56, 46,734.93 and 11,431.26

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Solution

The fourth proportional to 31,152.56, 46,734.93 and 11,431.26 is: 17,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,152.56 : 46,734.93 = 11,431.26 : x
  2. Step 2: Convert to fraction form
    31,152.56/46,734.93 = 11,431.26/x
  3. Step 3: Cross multiply
    31,152.56x = 46,734.93 × 11,431.26
  4. Step 4: Simplify right side
    31,152.56x = 534,239,135.91
  5. Step 5: Solve for x
    x = 534,239,135.91/31,152.56
  6. Step 6: Final answer
    x = 17,149.13

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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.