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Finding the Fourth Proportional to 57,705.48, 86,557.31 and 29,609.31

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Solution

The fourth proportional to 57,705.48, 86,557.31 and 29,609.31 is: 44,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,705.48 : 86,557.31 = 29,609.31 : x
  2. Step 2: Convert to fraction form
    57,705.48/86,557.31 = 29,609.31/x
  3. Step 3: Cross multiply
    57,705.48x = 86,557.31 × 29,609.31
  4. Step 4: Simplify right side
    57,705.48x = 2,562,902,076.51
  5. Step 5: Solve for x
    x = 2,562,902,076.51/57,705.48
  6. Step 6: Final answer
    x = 44,413.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.