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Finding the Fourth Proportional to 34,413.68, 47,497.38 and 22,487.24

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Solution

The fourth proportional to 34,413.68, 47,497.38 and 22,487.24 is: 31,036.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,413.68 : 47,497.38 = 22,487.24 : x
  2. Step 2: Convert to fraction form
    34,413.68/47,497.38 = 22,487.24/x
  3. Step 3: Cross multiply
    34,413.68x = 47,497.38 × 22,487.24
  4. Step 4: Simplify right side
    34,413.68x = 1,068,084,983.43
  5. Step 5: Solve for x
    x = 1,068,084,983.43/34,413.68
  6. Step 6: Final answer
    x = 31,036.64

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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.