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Finding the Fourth Proportional to 31,028.38, 46,549.86 and 8,842.09

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Solution

The fourth proportional to 31,028.38, 46,549.86 and 8,842.09 is: 13,265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,028.38 : 46,549.86 = 8,842.09 : x
  2. Step 2: Convert to fraction form
    31,028.38/46,549.86 = 8,842.09/x
  3. Step 3: Cross multiply
    31,028.38x = 46,549.86 × 8,842.09
  4. Step 4: Simplify right side
    31,028.38x = 411,598,051.61
  5. Step 5: Solve for x
    x = 411,598,051.61/31,028.38
  6. Step 6: Final answer
    x = 13,265.21

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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.