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Finding the Fourth Proportional to 31,170.72, 46,767.60 and 11,462.16

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Solution

The fourth proportional to 31,170.72, 46,767.60 and 11,462.16 is: 17,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,170.72 : 46,767.60 = 11,462.16 : x
  2. Step 2: Convert to fraction form
    31,170.72/46,767.60 = 11,462.16/x
  3. Step 3: Cross multiply
    31,170.72x = 46,767.60 × 11,462.16
  4. Step 4: Simplify right side
    31,170.72x = 536,057,714.02
  5. Step 5: Solve for x
    x = 536,057,714.02/31,170.72
  6. Step 6: Final answer
    x = 17,197.48

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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.