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Finding the Fourth Proportional to 31,272.88, 46,911.48 and 10,498

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Solution

The fourth proportional to 31,272.88, 46,911.48 and 10,498 is: 15,747.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,272.88 : 46,911.48 = 10,498 : x
  2. Step 2: Convert to fraction form
    31,272.88/46,911.48 = 10,498/x
  3. Step 3: Cross multiply
    31,272.88x = 46,911.48 × 10,498
  4. Step 4: Simplify right side
    31,272.88x = 492,476,717.04
  5. Step 5: Solve for x
    x = 492,476,717.04/31,272.88
  6. Step 6: Final answer
    x = 15,747.73

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