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Finding the Fourth Proportional to 53,642.67, 74,025 and 29,768.73

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Solution

The fourth proportional to 53,642.67, 74,025 and 29,768.73 is: 41,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,642.67 : 74,025 = 29,768.73 : x
  2. Step 2: Convert to fraction form
    53,642.67/74,025 = 29,768.73/x
  3. Step 3: Cross multiply
    53,642.67x = 74,025 × 29,768.73
  4. Step 4: Simplify right side
    53,642.67x = 2,203,630,238.25
  5. Step 5: Solve for x
    x = 2,203,630,238.25/53,642.67
  6. Step 6: Final answer
    x = 41,079.80

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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.