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Finding the Fourth Proportional to 31,153.68, 46,737 and 13,618.80

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Solution

The fourth proportional to 31,153.68, 46,737 and 13,618.80 is: 20,431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,153.68 : 46,737 = 13,618.80 : x
  2. Step 2: Convert to fraction form
    31,153.68/46,737 = 13,618.80/x
  3. Step 3: Cross multiply
    31,153.68x = 46,737 × 13,618.80
  4. Step 4: Simplify right side
    31,153.68x = 636,501,855.60
  5. Step 5: Solve for x
    x = 636,501,855.60/31,153.68
  6. Step 6: Final answer
    x = 20,431.03

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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.