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Finding the Fourth Proportional to 31,178.64, 43,024.44 and 17,031.44

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Solution

The fourth proportional to 31,178.64, 43,024.44 and 17,031.44 is: 23,502.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,178.64 : 43,024.44 = 17,031.44 : x
  2. Step 2: Convert to fraction form
    31,178.64/43,024.44 = 17,031.44/x
  3. Step 3: Cross multiply
    31,178.64x = 43,024.44 × 17,031.44
  4. Step 4: Simplify right side
    31,178.64x = 732,768,168.39
  5. Step 5: Solve for x
    x = 732,768,168.39/31,178.64
  6. Step 6: Final answer
    x = 23,502.25

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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.