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Finding the Fourth Proportional to 53,642.82, 74,027.38 and 29,769.52

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Solution

The fourth proportional to 53,642.82, 74,027.38 and 29,769.52 is: 41,082.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,642.82 : 74,027.38 = 29,769.52 : x
  2. Step 2: Convert to fraction form
    53,642.82/74,027.38 = 29,769.52/x
  3. Step 3: Cross multiply
    53,642.82x = 74,027.38 × 29,769.52
  4. Step 4: Simplify right side
    53,642.82x = 2,203,759,199.32
  5. Step 5: Solve for x
    x = 2,203,759,199.32/53,642.82
  6. Step 6: Final answer
    x = 41,082.09

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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.