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Finding the Fourth Proportional to 57,410.70, 86,132.52 and 24,113.64

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Solution

The fourth proportional to 57,410.70, 86,132.52 and 24,113.64 is: 36,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,410.70 : 86,132.52 = 24,113.64 : x
  2. Step 2: Convert to fraction form
    57,410.70/86,132.52 = 24,113.64/x
  3. Step 3: Cross multiply
    57,410.70x = 86,132.52 × 24,113.64
  4. Step 4: Simplify right side
    57,410.70x = 2,076,968,579.57
  5. Step 5: Solve for x
    x = 2,076,968,579.57/57,410.70
  6. Step 6: Final answer
    x = 36,177.38

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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.