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Finding the Fourth Proportional to 53,696.30, 74,091.98 and 31,037.38

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Solution

The fourth proportional to 53,696.30, 74,091.98 and 31,037.38 is: 42,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,696.30 : 74,091.98 = 31,037.38 : x
  2. Step 2: Convert to fraction form
    53,696.30/74,091.98 = 31,037.38/x
  3. Step 3: Cross multiply
    53,696.30x = 74,091.98 × 31,037.38
  4. Step 4: Simplify right side
    53,696.30x = 2,299,620,783.03
  5. Step 5: Solve for x
    x = 2,299,620,783.03/53,696.30
  6. Step 6: Final answer
    x = 42,826.43

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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.