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Finding the Fourth Proportional to 57,782.66, 79,749.22 and 35,128.74

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Solution

The fourth proportional to 57,782.66, 79,749.22 and 35,128.74 is: 48,483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,782.66 : 79,749.22 = 35,128.74 : x
  2. Step 2: Convert to fraction form
    57,782.66/79,749.22 = 35,128.74/x
  3. Step 3: Cross multiply
    57,782.66x = 79,749.22 × 35,128.74
  4. Step 4: Simplify right side
    57,782.66x = 2,801,489,614.58
  5. Step 5: Solve for x
    x = 2,801,489,614.58/57,782.66
  6. Step 6: Final answer
    x = 48,483.22

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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.