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Finding the Fourth Proportional to 53,858.46, 74,326.85 and 31,197.09

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Solution

The fourth proportional to 53,858.46, 74,326.85 and 31,197.09 is: 43,053.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,858.46 : 74,326.85 = 31,197.09 : x
  2. Step 2: Convert to fraction form
    53,858.46/74,326.85 = 31,197.09/x
  3. Step 3: Cross multiply
    53,858.46x = 74,326.85 × 31,197.09
  4. Step 4: Simplify right side
    53,858.46x = 2,318,780,901.25
  5. Step 5: Solve for x
    x = 2,318,780,901.25/53,858.46
  6. Step 6: Final answer
    x = 43,053.24

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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.