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Finding the Fourth Proportional to 40,082, 55,308.60 and 22,174.52

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Solution

The fourth proportional to 40,082, 55,308.60 and 22,174.52 is: 30,598.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,082 : 55,308.60 = 22,174.52 : x
  2. Step 2: Convert to fraction form
    40,082/55,308.60 = 22,174.52/x
  3. Step 3: Cross multiply
    40,082x = 55,308.60 × 22,174.52
  4. Step 4: Simplify right side
    40,082x = 1,226,441,656.87
  5. Step 5: Solve for x
    x = 1,226,441,656.87/40,082
  6. Step 6: Final answer
    x = 30,598.31

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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.