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Finding the Fourth Proportional to 53,641.92, 74,028.38 and 29,768.79

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Solution

The fourth proportional to 53,641.92, 74,028.38 and 29,768.79 is: 41,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,641.92 : 74,028.38 = 29,768.79 : x
  2. Step 2: Convert to fraction form
    53,641.92/74,028.38 = 29,768.79/x
  3. Step 3: Cross multiply
    53,641.92x = 74,028.38 × 29,768.79
  4. Step 4: Simplify right side
    53,641.92x = 2,203,735,298.26
  5. Step 5: Solve for x
    x = 2,203,735,298.26/53,641.92
  6. Step 6: Final answer
    x = 41,082.33

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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.