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Finding the Fourth Proportional to 31,107.47, 46,658.62 and 16,098.43

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Solution

The fourth proportional to 31,107.47, 46,658.62 and 16,098.43 is: 24,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,107.47 : 46,658.62 = 16,098.43 : x
  2. Step 2: Convert to fraction form
    31,107.47/46,658.62 = 16,098.43/x
  3. Step 3: Cross multiply
    31,107.47x = 46,658.62 × 16,098.43
  4. Step 4: Simplify right side
    31,107.47x = 751,130,371.07
  5. Step 5: Solve for x
    x = 751,130,371.07/31,107.47
  6. Step 6: Final answer
    x = 24,146.30

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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.