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Finding the Fourth Proportional to 53,893.48, 74,373.78 and 31,234.14

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Solution

The fourth proportional to 53,893.48, 74,373.78 and 31,234.14 is: 43,103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,893.48 : 74,373.78 = 31,234.14 : x
  2. Step 2: Convert to fraction form
    53,893.48/74,373.78 = 31,234.14/x
  3. Step 3: Cross multiply
    53,893.48x = 74,373.78 × 31,234.14
  4. Step 4: Simplify right side
    53,893.48x = 2,323,001,056.85
  5. Step 5: Solve for x
    x = 2,323,001,056.85/53,893.48
  6. Step 6: Final answer
    x = 43,103.56

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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.