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Finding the Fourth Proportional to 37,204.12, 51,341.46 and 20,437

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Solution

The fourth proportional to 37,204.12, 51,341.46 and 20,437 is: 28,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,204.12 : 51,341.46 = 20,437 : x
  2. Step 2: Convert to fraction form
    37,204.12/51,341.46 = 20,437/x
  3. Step 3: Cross multiply
    37,204.12x = 51,341.46 × 20,437
  4. Step 4: Simplify right side
    37,204.12x = 1,049,265,418.02
  5. Step 5: Solve for x
    x = 1,049,265,418.02/37,204.12
  6. Step 6: Final answer
    x = 28,202.94

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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.