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Finding the Fourth Proportional to 53,937.26, 74,431.70 and 33,805

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Solution

The fourth proportional to 53,937.26, 74,431.70 and 33,805 is: 46,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,937.26 : 74,431.70 = 33,805 : x
  2. Step 2: Convert to fraction form
    53,937.26/74,431.70 = 33,805/x
  3. Step 3: Cross multiply
    53,937.26x = 74,431.70 × 33,805
  4. Step 4: Simplify right side
    53,937.26x = 2,516,163,618.50
  5. Step 5: Solve for x
    x = 2,516,163,618.50/53,937.26
  6. Step 6: Final answer
    x = 46,649.82

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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.