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Finding the Fourth Proportional to 57,709.78, 79,643.50 and 32,221.16

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Solution

The fourth proportional to 57,709.78, 79,643.50 and 32,221.16 is: 44,467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,709.78 : 79,643.50 = 32,221.16 : x
  2. Step 2: Convert to fraction form
    57,709.78/79,643.50 = 32,221.16/x
  3. Step 3: Cross multiply
    57,709.78x = 79,643.50 × 32,221.16
  4. Step 4: Simplify right side
    57,709.78x = 2,566,205,956.46
  5. Step 5: Solve for x
    x = 2,566,205,956.46/57,709.78
  6. Step 6: Final answer
    x = 44,467.44

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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.