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Finding the Fourth Proportional to 53,967.25, 74,474.81 and 31,611.25

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Solution

The fourth proportional to 53,967.25, 74,474.81 and 31,611.25 is: 43,623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,967.25 : 74,474.81 = 31,611.25 : x
  2. Step 2: Convert to fraction form
    53,967.25/74,474.81 = 31,611.25/x
  3. Step 3: Cross multiply
    53,967.25x = 74,474.81 × 31,611.25
  4. Step 4: Simplify right side
    53,967.25x = 2,354,241,837.61
  5. Step 5: Solve for x
    x = 2,354,241,837.61/53,967.25
  6. Step 6: Final answer
    x = 43,623.53

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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.