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Finding the Fourth Proportional to 31,138.44, 46,714.20 and 11,417.64

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Solution

The fourth proportional to 31,138.44, 46,714.20 and 11,417.64 is: 17,128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,138.44 : 46,714.20 = 11,417.64 : x
  2. Step 2: Convert to fraction form
    31,138.44/46,714.20 = 11,417.64/x
  3. Step 3: Cross multiply
    31,138.44x = 46,714.20 × 11,417.64
  4. Step 4: Simplify right side
    31,138.44x = 533,365,918.49
  5. Step 5: Solve for x
    x = 533,365,918.49/31,138.44
  6. Step 6: Final answer
    x = 17,128.86

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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.