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Finding the Fourth Proportional to 31,281.73, 46,927.17 and 9,092.22

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Solution

The fourth proportional to 31,281.73, 46,927.17 and 9,092.22 is: 13,639.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,281.73 : 46,927.17 = 9,092.22 : x
  2. Step 2: Convert to fraction form
    31,281.73/46,927.17 = 9,092.22/x
  3. Step 3: Cross multiply
    31,281.73x = 46,927.17 × 9,092.22
  4. Step 4: Simplify right side
    31,281.73x = 426,672,153.62
  5. Step 5: Solve for x
    x = 426,672,153.62/31,281.73
  6. Step 6: Final answer
    x = 13,639.66

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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.