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Finding the Fourth Proportional to 31,499.38, 43,468.59 and 17,352.10

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Solution

The fourth proportional to 31,499.38, 43,468.59 and 17,352.10 is: 23,945.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,499.38 : 43,468.59 = 17,352.10 : x
  2. Step 2: Convert to fraction form
    31,499.38/43,468.59 = 17,352.10/x
  3. Step 3: Cross multiply
    31,499.38x = 43,468.59 × 17,352.10
  4. Step 4: Simplify right side
    31,499.38x = 754,271,320.54
  5. Step 5: Solve for x
    x = 754,271,320.54/31,499.38
  6. Step 6: Final answer
    x = 23,945.59

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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.