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Finding the Fourth Proportional to 56,114.70, 84,176.10 and 33,880.20

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Solution

The fourth proportional to 56,114.70, 84,176.10 and 33,880.20 is: 50,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,114.70 : 84,176.10 = 33,880.20 : x
  2. Step 2: Convert to fraction form
    56,114.70/84,176.10 = 33,880.20/x
  3. Step 3: Cross multiply
    56,114.70x = 84,176.10 × 33,880.20
  4. Step 4: Simplify right side
    56,114.70x = 2,851,903,103.22
  5. Step 5: Solve for x
    x = 2,851,903,103.22/56,114.70
  6. Step 6: Final answer
    x = 50,822.75

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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.