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Finding the Fourth Proportional to 53,856.52, 74,326.02 and 31,201.60

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Solution

The fourth proportional to 53,856.52, 74,326.02 and 31,201.60 is: 43,060.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,856.52 : 74,326.02 = 31,201.60 : x
  2. Step 2: Convert to fraction form
    53,856.52/74,326.02 = 31,201.60/x
  3. Step 3: Cross multiply
    53,856.52x = 74,326.02 × 31,201.60
  4. Step 4: Simplify right side
    53,856.52x = 2,319,090,745.63
  5. Step 5: Solve for x
    x = 2,319,090,745.63/53,856.52
  6. Step 6: Final answer
    x = 43,060.54

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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.