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Finding the Fourth Proportional to 46,613.67, 69,893.50 and 31,840.44

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Solution

The fourth proportional to 46,613.67, 69,893.50 and 31,840.44 is: 47,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,613.67 : 69,893.50 = 31,840.44 : x
  2. Step 2: Convert to fraction form
    46,613.67/69,893.50 = 31,840.44/x
  3. Step 3: Cross multiply
    46,613.67x = 69,893.50 × 31,840.44
  4. Step 4: Simplify right side
    46,613.67x = 2,225,439,793.14
  5. Step 5: Solve for x
    x = 2,225,439,793.14/46,613.67
  6. Step 6: Final answer
    x = 47,742.21

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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.