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Finding the Fourth Proportional to 31,022.42, 46,534.19 and 8,836.38

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Solution

The fourth proportional to 31,022.42, 46,534.19 and 8,836.38 is: 13,254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,022.42 : 46,534.19 = 8,836.38 : x
  2. Step 2: Convert to fraction form
    31,022.42/46,534.19 = 8,836.38/x
  3. Step 3: Cross multiply
    31,022.42x = 46,534.19 × 8,836.38
  4. Step 4: Simplify right side
    31,022.42x = 411,193,741.65
  5. Step 5: Solve for x
    x = 411,193,741.65/31,022.42
  6. Step 6: Final answer
    x = 13,254.73

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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.