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Finding the Fourth Proportional to 53,774.76, 74,198.34 and 31,414.44

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Solution

The fourth proportional to 53,774.76, 74,198.34 and 31,414.44 is: 43,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,774.76 : 74,198.34 = 31,414.44 : x
  2. Step 2: Convert to fraction form
    53,774.76/74,198.34 = 31,414.44/x
  3. Step 3: Cross multiply
    53,774.76x = 74,198.34 × 31,414.44
  4. Step 4: Simplify right side
    53,774.76x = 2,330,899,300.03
  5. Step 5: Solve for x
    x = 2,330,899,300.03/53,774.76
  6. Step 6: Final answer
    x = 43,345.60

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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.