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Finding the Fourth Proportional to 53,768.85, 74,202.27 and 29,895

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Solution

The fourth proportional to 53,768.85, 74,202.27 and 29,895 is: 41,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,768.85 : 74,202.27 = 29,895 : x
  2. Step 2: Convert to fraction form
    53,768.85/74,202.27 = 29,895/x
  3. Step 3: Cross multiply
    53,768.85x = 74,202.27 × 29,895
  4. Step 4: Simplify right side
    53,768.85x = 2,218,276,861.65
  5. Step 5: Solve for x
    x = 2,218,276,861.65/53,768.85
  6. Step 6: Final answer
    x = 41,255.80

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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.