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Finding the Fourth Proportional to 37,136.31, 55,722.84 and 17,416.38

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Solution

The fourth proportional to 37,136.31, 55,722.84 and 17,416.38 is: 26,133.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,136.31 : 55,722.84 = 17,416.38 : x
  2. Step 2: Convert to fraction form
    37,136.31/55,722.84 = 17,416.38/x
  3. Step 3: Cross multiply
    37,136.31x = 55,722.84 × 17,416.38
  4. Step 4: Simplify right side
    37,136.31x = 970,490,156.12
  5. Step 5: Solve for x
    x = 970,490,156.12/37,136.31
  6. Step 6: Final answer
    x = 26,133.19

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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.