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Finding the Fourth Proportional to 31,137.06, 46,730.49 and 16,354.69

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Solution

The fourth proportional to 31,137.06, 46,730.49 and 16,354.69 is: 24,545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,137.06 : 46,730.49 = 16,354.69 : x
  2. Step 2: Convert to fraction form
    31,137.06/46,730.49 = 16,354.69/x
  3. Step 3: Cross multiply
    31,137.06x = 46,730.49 × 16,354.69
  4. Step 4: Simplify right side
    31,137.06x = 764,262,677.50
  5. Step 5: Solve for x
    x = 764,262,677.50/31,137.06
  6. Step 6: Final answer
    x = 24,545.12

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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.