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Finding the Fourth Proportional to 30,142.17, 41,606.98 and 20,575.22

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Solution

The fourth proportional to 30,142.17, 41,606.98 and 20,575.22 is: 28,401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.17 : 41,606.98 = 20,575.22 : x
  2. Step 2: Convert to fraction form
    30,142.17/41,606.98 = 20,575.22/x
  3. Step 3: Cross multiply
    30,142.17x = 41,606.98 × 20,575.22
  4. Step 4: Simplify right side
    30,142.17x = 856,072,507.56
  5. Step 5: Solve for x
    x = 856,072,507.56/30,142.17
  6. Step 6: Final answer
    x = 28,401.16

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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.