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Finding the Fourth Proportional to 59,413.47, 81,992.49 and 32,557.68

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Solution

The fourth proportional to 59,413.47, 81,992.49 and 32,557.68 is: 44,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,413.47 : 81,992.49 = 32,557.68 : x
  2. Step 2: Convert to fraction form
    59,413.47/81,992.49 = 32,557.68/x
  3. Step 3: Cross multiply
    59,413.47x = 81,992.49 × 32,557.68
  4. Step 4: Simplify right side
    59,413.47x = 2,669,485,251.82
  5. Step 5: Solve for x
    x = 2,669,485,251.82/59,413.47
  6. Step 6: Final answer
    x = 44,930.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.