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Finding the Fourth Proportional to 53,843.33, 74,295.29 and 31,184.46

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Solution

The fourth proportional to 53,843.33, 74,295.29 and 31,184.46 is: 43,029.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,843.33 : 74,295.29 = 31,184.46 : x
  2. Step 2: Convert to fraction form
    53,843.33/74,295.29 = 31,184.46/x
  3. Step 3: Cross multiply
    53,843.33x = 74,295.29 × 31,184.46
  4. Step 4: Simplify right side
    53,843.33x = 2,316,858,577.15
  5. Step 5: Solve for x
    x = 2,316,858,577.15/53,843.33
  6. Step 6: Final answer
    x = 43,029.63

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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.