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Finding the Fourth Proportional to 37,231, 51,381.36 and 21,098.16

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Solution

The fourth proportional to 37,231, 51,381.36 and 21,098.16 is: 29,116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,231 : 51,381.36 = 21,098.16 : x
  2. Step 2: Convert to fraction form
    37,231/51,381.36 = 21,098.16/x
  3. Step 3: Cross multiply
    37,231x = 51,381.36 × 21,098.16
  4. Step 4: Simplify right side
    37,231x = 1,084,052,154.30
  5. Step 5: Solve for x
    x = 1,084,052,154.30/37,231
  6. Step 6: Final answer
    x = 29,116.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.