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Finding the Fourth Proportional to 53,062.34, 73,224.23 and 29,188.80

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Solution

The fourth proportional to 53,062.34, 73,224.23 and 29,188.80 is: 40,279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,062.34 : 73,224.23 = 29,188.80 : x
  2. Step 2: Convert to fraction form
    53,062.34/73,224.23 = 29,188.80/x
  3. Step 3: Cross multiply
    53,062.34x = 73,224.23 × 29,188.80
  4. Step 4: Simplify right side
    53,062.34x = 2,137,327,258.68
  5. Step 5: Solve for x
    x = 2,137,327,258.68/53,062.34
  6. Step 6: Final answer
    x = 40,279.56

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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.