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Finding the Fourth Proportional to 31,005.31, 46,508.21 and 9,945.38

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Solution

The fourth proportional to 31,005.31, 46,508.21 and 9,945.38 is: 14,918.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005.31 : 46,508.21 = 9,945.38 : x
  2. Step 2: Convert to fraction form
    31,005.31/46,508.21 = 9,945.38/x
  3. Step 3: Cross multiply
    31,005.31x = 46,508.21 × 9,945.38
  4. Step 4: Simplify right side
    31,005.31x = 462,541,771.16
  5. Step 5: Solve for x
    x = 462,541,771.16/31,005.31
  6. Step 6: Final answer
    x = 14,918.15

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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.