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Finding the Fourth Proportional to 31,254.88, 46,952.88 and 18,139.36

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Solution

The fourth proportional to 31,254.88, 46,952.88 and 18,139.36 is: 27,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,254.88 : 46,952.88 = 18,139.36 : x
  2. Step 2: Convert to fraction form
    31,254.88/46,952.88 = 18,139.36/x
  3. Step 3: Cross multiply
    31,254.88x = 46,952.88 × 18,139.36
  4. Step 4: Simplify right side
    31,254.88x = 851,695,193.36
  5. Step 5: Solve for x
    x = 851,695,193.36/31,254.88
  6. Step 6: Final answer
    x = 27,249.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.