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Finding the Fourth Proportional to 57,717, 79,649.46 and 32,566.50

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Solution

The fourth proportional to 57,717, 79,649.46 and 32,566.50 is: 44,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,717 : 79,649.46 = 32,566.50 : x
  2. Step 2: Convert to fraction form
    57,717/79,649.46 = 32,566.50/x
  3. Step 3: Cross multiply
    57,717x = 79,649.46 × 32,566.50
  4. Step 4: Simplify right side
    57,717x = 2,593,904,139.09
  5. Step 5: Solve for x
    x = 2,593,904,139.09/57,717
  6. Step 6: Final answer
    x = 44,941.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.