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Finding the Fourth Proportional to 37,814.50, 52,184.01 and 21,047.14

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Solution

The fourth proportional to 37,814.50, 52,184.01 and 21,047.14 is: 29,045.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,814.50 : 52,184.01 = 21,047.14 : x
  2. Step 2: Convert to fraction form
    37,814.50/52,184.01 = 21,047.14/x
  3. Step 3: Cross multiply
    37,814.50x = 52,184.01 × 21,047.14
  4. Step 4: Simplify right side
    37,814.50x = 1,098,324,164.23
  5. Step 5: Solve for x
    x = 1,098,324,164.23/37,814.50
  6. Step 6: Final answer
    x = 29,045.05

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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.