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Finding the Fourth Proportional to 53,286.81, 73,535.81 and 29,413.49

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Solution

The fourth proportional to 53,286.81, 73,535.81 and 29,413.49 is: 40,590.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,286.81 : 73,535.81 = 29,413.49 : x
  2. Step 2: Convert to fraction form
    53,286.81/73,535.81 = 29,413.49/x
  3. Step 3: Cross multiply
    53,286.81x = 73,535.81 × 29,413.49
  4. Step 4: Simplify right side
    53,286.81x = 2,162,944,812.08
  5. Step 5: Solve for x
    x = 2,162,944,812.08/53,286.81
  6. Step 6: Final answer
    x = 40,590.62

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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.