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Finding the Fourth Proportional to 53,742.62, 74,198.03 and 34,629.15

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Solution

The fourth proportional to 53,742.62, 74,198.03 and 34,629.15 is: 47,809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,742.62 : 74,198.03 = 34,629.15 : x
  2. Step 2: Convert to fraction form
    53,742.62/74,198.03 = 34,629.15/x
  3. Step 3: Cross multiply
    53,742.62x = 74,198.03 × 34,629.15
  4. Step 4: Simplify right side
    53,742.62x = 2,569,414,815.67
  5. Step 5: Solve for x
    x = 2,569,414,815.67/53,742.62
  6. Step 6: Final answer
    x = 47,809.63

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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.