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Finding the Fourth Proportional to 31,862.16, 47,790.13 and 9,675.73

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Solution

The fourth proportional to 31,862.16, 47,790.13 and 9,675.73 is: 14,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,862.16 : 47,790.13 = 9,675.73 : x
  2. Step 2: Convert to fraction form
    31,862.16/47,790.13 = 9,675.73/x
  3. Step 3: Cross multiply
    31,862.16x = 47,790.13 × 9,675.73
  4. Step 4: Simplify right side
    31,862.16x = 462,404,394.54
  5. Step 5: Solve for x
    x = 462,404,394.54/31,862.16
  6. Step 6: Final answer
    x = 14,512.65

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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.