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Finding the Fourth Proportional to 57,472.50, 79,312.06 and 32,322

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Solution

The fourth proportional to 57,472.50, 79,312.06 and 32,322 is: 44,604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,472.50 : 79,312.06 = 32,322 : x
  2. Step 2: Convert to fraction form
    57,472.50/79,312.06 = 32,322/x
  3. Step 3: Cross multiply
    57,472.50x = 79,312.06 × 32,322
  4. Step 4: Simplify right side
    57,472.50x = 2,563,524,403.32
  5. Step 5: Solve for x
    x = 2,563,524,403.32/57,472.50
  6. Step 6: Final answer
    x = 44,604.37

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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.