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Finding the Fourth Proportional to 53,817.48, 74,254.32 and 32,589

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Solution

The fourth proportional to 53,817.48, 74,254.32 and 32,589 is: 44,964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,817.48 : 74,254.32 = 32,589 : x
  2. Step 2: Convert to fraction form
    53,817.48/74,254.32 = 32,589/x
  3. Step 3: Cross multiply
    53,817.48x = 74,254.32 × 32,589
  4. Step 4: Simplify right side
    53,817.48x = 2,419,874,034.48
  5. Step 5: Solve for x
    x = 2,419,874,034.48/53,817.48
  6. Step 6: Final answer
    x = 44,964.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.