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Finding the Fourth Proportional to 37,224.12, 51,369.78 and 20,457

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Solution

The fourth proportional to 37,224.12, 51,369.78 and 20,457 is: 28,230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,224.12 : 51,369.78 = 20,457 : x
  2. Step 2: Convert to fraction form
    37,224.12/51,369.78 = 20,457/x
  3. Step 3: Cross multiply
    37,224.12x = 51,369.78 × 20,457
  4. Step 4: Simplify right side
    37,224.12x = 1,050,871,589.46
  5. Step 5: Solve for x
    x = 1,050,871,589.46/37,224.12
  6. Step 6: Final answer
    x = 28,230.93

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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.