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Finding the Fourth Proportional to 31,182.14, 43,031.99 and 17,035.90

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Solution

The fourth proportional to 31,182.14, 43,031.99 and 17,035.90 is: 23,509.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,182.14 : 43,031.99 = 17,035.90 : x
  2. Step 2: Convert to fraction form
    31,182.14/43,031.99 = 17,035.90/x
  3. Step 3: Cross multiply
    31,182.14x = 43,031.99 × 17,035.90
  4. Step 4: Simplify right side
    31,182.14x = 733,088,678.44
  5. Step 5: Solve for x
    x = 733,088,678.44/31,182.14
  6. Step 6: Final answer
    x = 23,509.89

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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.