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Finding the Fourth Proportional to 31,590.27, 43,597.14 and 18,165.87

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Solution

The fourth proportional to 31,590.27, 43,597.14 and 18,165.87 is: 25,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,590.27 : 43,597.14 = 18,165.87 : x
  2. Step 2: Convert to fraction form
    31,590.27/43,597.14 = 18,165.87/x
  3. Step 3: Cross multiply
    31,590.27x = 43,597.14 × 18,165.87
  4. Step 4: Simplify right side
    31,590.27x = 791,979,977.61
  5. Step 5: Solve for x
    x = 791,979,977.61/31,590.27
  6. Step 6: Final answer
    x = 25,070.38

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Why These Related Problems?

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