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Finding the Fourth Proportional to 57,375, 79,184.93 and 32,224.50

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Solution

The fourth proportional to 57,375, 79,184.93 and 32,224.50 is: 44,473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,375 : 79,184.93 = 32,224.50 : x
  2. Step 2: Convert to fraction form
    57,375/79,184.93 = 32,224.50/x
  3. Step 3: Cross multiply
    57,375x = 79,184.93 × 32,224.50
  4. Step 4: Simplify right side
    57,375x = 2,551,694,615.66
  5. Step 5: Solve for x
    x = 2,551,694,615.66/57,375
  6. Step 6: Final answer
    x = 44,473.98

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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.