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Finding the Fourth Proportional to 42,798.39, 64,197.72 and 11,633.64

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Solution

The fourth proportional to 42,798.39, 64,197.72 and 11,633.64 is: 17,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,798.39 : 64,197.72 = 11,633.64 : x
  2. Step 2: Convert to fraction form
    42,798.39/64,197.72 = 11,633.64/x
  3. Step 3: Cross multiply
    42,798.39x = 64,197.72 × 11,633.64
  4. Step 4: Simplify right side
    42,798.39x = 746,853,163.30
  5. Step 5: Solve for x
    x = 746,853,163.30/42,798.39
  6. Step 6: Final answer
    x = 17,450.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.