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Finding the Fourth Proportional to 53,644.32, 74,027.75 and 29,770.38

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Solution

The fourth proportional to 53,644.32, 74,027.75 and 29,770.38 is: 41,082.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,644.32 : 74,027.75 = 29,770.38 : x
  2. Step 2: Convert to fraction form
    53,644.32/74,027.75 = 29,770.38/x
  3. Step 3: Cross multiply
    53,644.32x = 74,027.75 × 29,770.38
  4. Step 4: Simplify right side
    53,644.32x = 2,203,834,099.19
  5. Step 5: Solve for x
    x = 2,203,834,099.19/53,644.32
  6. Step 6: Final answer
    x = 41,082.34

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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.