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Finding the Fourth Proportional to 31,862.11, 47,790.07 and 9,675.68

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Solution

The fourth proportional to 31,862.11, 47,790.07 and 9,675.68 is: 14,512.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,862.11 : 47,790.07 = 9,675.68 : x
  2. Step 2: Convert to fraction form
    31,862.11/47,790.07 = 9,675.68/x
  3. Step 3: Cross multiply
    31,862.11x = 47,790.07 × 9,675.68
  4. Step 4: Simplify right side
    31,862.11x = 462,401,424.50
  5. Step 5: Solve for x
    x = 462,401,424.50/31,862.11
  6. Step 6: Final answer
    x = 14,512.58

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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.