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Finding the Fourth Proportional to 31,678.66, 43,714.74 and 17,530.66

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Solution

The fourth proportional to 31,678.66, 43,714.74 and 17,530.66 is: 24,191.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,678.66 : 43,714.74 = 17,530.66 : x
  2. Step 2: Convert to fraction form
    31,678.66/43,714.74 = 17,530.66/x
  3. Step 3: Cross multiply
    31,678.66x = 43,714.74 × 17,530.66
  4. Step 4: Simplify right side
    31,678.66x = 766,348,243.93
  5. Step 5: Solve for x
    x = 766,348,243.93/31,678.66
  6. Step 6: Final answer
    x = 24,191.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.