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Finding the Fourth Proportional to 31,006.08, 46,511.19 and 8,821.17

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Solution

The fourth proportional to 31,006.08, 46,511.19 and 8,821.17 is: 13,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,006.08 : 46,511.19 = 8,821.17 : x
  2. Step 2: Convert to fraction form
    31,006.08/46,511.19 = 8,821.17/x
  3. Step 3: Cross multiply
    31,006.08x = 46,511.19 × 8,821.17
  4. Step 4: Simplify right side
    31,006.08x = 410,283,113.89
  5. Step 5: Solve for x
    x = 410,283,113.89/31,006.08
  6. Step 6: Final answer
    x = 13,232.34

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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.