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Finding the Fourth Proportional to 53,781.26, 74,203.14 and 32,257.54

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Solution

The fourth proportional to 53,781.26, 74,203.14 and 32,257.54 is: 44,506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,781.26 : 74,203.14 = 32,257.54 : x
  2. Step 2: Convert to fraction form
    53,781.26/74,203.14 = 32,257.54/x
  3. Step 3: Cross multiply
    53,781.26x = 74,203.14 × 32,257.54
  4. Step 4: Simplify right side
    53,781.26x = 2,393,610,224.37
  5. Step 5: Solve for x
    x = 2,393,610,224.37/53,781.26
  6. Step 6: Final answer
    x = 44,506.40

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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.