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Finding the Fourth Proportional to 52,833.84, 72,908.40 and 31,624.80

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Solution

The fourth proportional to 52,833.84, 72,908.40 and 31,624.80 is: 43,640.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,833.84 : 72,908.40 = 31,624.80 : x
  2. Step 2: Convert to fraction form
    52,833.84/72,908.40 = 31,624.80/x
  3. Step 3: Cross multiply
    52,833.84x = 72,908.40 × 31,624.80
  4. Step 4: Simplify right side
    52,833.84x = 2,305,713,413.51
  5. Step 5: Solve for x
    x = 2,305,713,413.51/52,833.84
  6. Step 6: Final answer
    x = 43,640.85

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