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Finding the Fourth Proportional to 77,413.38, 106,831.71 and 43,429.43

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Solution

The fourth proportional to 77,413.38, 106,831.71 and 43,429.43 is: 59,933.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,413.38 : 106,831.71 = 43,429.43 : x
  2. Step 2: Convert to fraction form
    77,413.38/106,831.71 = 43,429.43/x
  3. Step 3: Cross multiply
    77,413.38x = 106,831.71 × 43,429.43
  4. Step 4: Simplify right side
    77,413.38x = 4,639,639,737.07
  5. Step 5: Solve for x
    x = 4,639,639,737.07/77,413.38
  6. Step 6: Final answer
    x = 59,933.31

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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.