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Finding the Fourth Proportional to 56,938.80, 85,408.20 and 30,694.80

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Solution

The fourth proportional to 56,938.80, 85,408.20 and 30,694.80 is: 46,042.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,938.80 : 85,408.20 = 30,694.80 : x
  2. Step 2: Convert to fraction form
    56,938.80/85,408.20 = 30,694.80/x
  3. Step 3: Cross multiply
    56,938.80x = 85,408.20 × 30,694.80
  4. Step 4: Simplify right side
    56,938.80x = 2,621,587,617.36
  5. Step 5: Solve for x
    x = 2,621,587,617.36/56,938.80
  6. Step 6: Final answer
    x = 46,042.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.