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Finding the Fourth Proportional to 101,801.86, 152,712.51 and 31,662.34

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Solution

The fourth proportional to 101,801.86, 152,712.51 and 31,662.34 is: 47,496.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,801.86 : 152,712.51 = 31,662.34 : x
  2. Step 2: Convert to fraction form
    101,801.86/152,712.51 = 31,662.34/x
  3. Step 3: Cross multiply
    101,801.86x = 152,712.51 × 31,662.34
  4. Step 4: Simplify right side
    101,801.86x = 4,835,235,413.87
  5. Step 5: Solve for x
    x = 4,835,235,413.87/101,801.86
  6. Step 6: Final answer
    x = 47,496.53

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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.