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Finding the Fourth Proportional to 31,005.51, 46,511.37 and 9,940.29

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Solution

The fourth proportional to 31,005.51, 46,511.37 and 9,940.29 is: 14,911.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005.51 : 46,511.37 = 9,940.29 : x
  2. Step 2: Convert to fraction form
    31,005.51/46,511.37 = 9,940.29/x
  3. Step 3: Cross multiply
    31,005.51x = 46,511.37 × 9,940.29
  4. Step 4: Simplify right side
    31,005.51x = 462,336,506.10
  5. Step 5: Solve for x
    x = 462,336,506.10/31,005.51
  6. Step 6: Final answer
    x = 14,911.43

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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.