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Finding the Fourth Proportional to 31,339.56, 46,965.14 and 17,305.90

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Solution

The fourth proportional to 31,339.56, 46,965.14 and 17,305.90 is: 25,934.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,339.56 : 46,965.14 = 17,305.90 : x
  2. Step 2: Convert to fraction form
    31,339.56/46,965.14 = 17,305.90/x
  3. Step 3: Cross multiply
    31,339.56x = 46,965.14 × 17,305.90
  4. Step 4: Simplify right side
    31,339.56x = 812,773,988.50
  5. Step 5: Solve for x
    x = 812,773,988.50/31,339.56
  6. Step 6: Final answer
    x = 25,934.44

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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.