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Finding the Fourth Proportional to 57,782, 79,745.64 and 32,633.12

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Solution

The fourth proportional to 57,782, 79,745.64 and 32,633.12 is: 45,037.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,782 : 79,745.64 = 32,633.12 : x
  2. Step 2: Convert to fraction form
    57,782/79,745.64 = 32,633.12/x
  3. Step 3: Cross multiply
    57,782x = 79,745.64 × 32,633.12
  4. Step 4: Simplify right side
    57,782x = 2,602,349,039.60
  5. Step 5: Solve for x
    x = 2,602,349,039.60/57,782
  6. Step 6: Final answer
    x = 45,037.37

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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.