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Finding the Fourth Proportional to 31,048.73, 46,573.53 and 8,862.11

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Solution

The fourth proportional to 31,048.73, 46,573.53 and 8,862.11 is: 13,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,048.73 : 46,573.53 = 8,862.11 : x
  2. Step 2: Convert to fraction form
    31,048.73/46,573.53 = 8,862.11/x
  3. Step 3: Cross multiply
    31,048.73x = 46,573.53 × 8,862.11
  4. Step 4: Simplify right side
    31,048.73x = 412,739,745.95
  5. Step 5: Solve for x
    x = 412,739,745.95/31,048.73
  6. Step 6: Final answer
    x = 13,293.29

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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.