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Finding the Fourth Proportional to 53,638.92, 74,025.18 and 29,765.64

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Solution

The fourth proportional to 53,638.92, 74,025.18 and 29,765.64 is: 41,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,638.92 : 74,025.18 = 29,765.64 : x
  2. Step 2: Convert to fraction form
    53,638.92/74,025.18 = 29,765.64/x
  3. Step 3: Cross multiply
    53,638.92x = 74,025.18 × 29,765.64
  4. Step 4: Simplify right side
    53,638.92x = 2,203,406,858.82
  5. Step 5: Solve for x
    x = 2,203,406,858.82/53,638.92
  6. Step 6: Final answer
    x = 41,078.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.