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Finding the Fourth Proportional to 57,782.78, 79,739.84 and 32,289.21

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Solution

The fourth proportional to 57,782.78, 79,739.84 and 32,289.21 is: 44,558.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,782.78 : 79,739.84 = 32,289.21 : x
  2. Step 2: Convert to fraction form
    57,782.78/79,739.84 = 32,289.21/x
  3. Step 3: Cross multiply
    57,782.78x = 79,739.84 × 32,289.21
  4. Step 4: Simplify right side
    57,782.78x = 2,574,736,239.78
  5. Step 5: Solve for x
    x = 2,574,736,239.78/57,782.78
  6. Step 6: Final answer
    x = 44,558.88

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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.