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Finding the Fourth Proportional to 52,197.72, 78,308.54 and 22,620.52

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Solution

The fourth proportional to 52,197.72, 78,308.54 and 22,620.52 is: 33,935.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,197.72 : 78,308.54 = 22,620.52 : x
  2. Step 2: Convert to fraction form
    52,197.72/78,308.54 = 22,620.52/x
  3. Step 3: Cross multiply
    52,197.72x = 78,308.54 × 22,620.52
  4. Step 4: Simplify right side
    52,197.72x = 1,771,379,895.24
  5. Step 5: Solve for x
    x = 1,771,379,895.24/52,197.72
  6. Step 6: Final answer
    x = 33,935.96

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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.