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Finding the Fourth Proportional to 52,931.24, 73,039.04 and 31,413.26

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Solution

The fourth proportional to 52,931.24, 73,039.04 and 31,413.26 is: 43,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,931.24 : 73,039.04 = 31,413.26 : x
  2. Step 2: Convert to fraction form
    52,931.24/73,039.04 = 31,413.26/x
  3. Step 3: Cross multiply
    52,931.24x = 73,039.04 × 31,413.26
  4. Step 4: Simplify right side
    52,931.24x = 2,294,394,353.67
  5. Step 5: Solve for x
    x = 2,294,394,353.67/52,931.24
  6. Step 6: Final answer
    x = 43,346.70

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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.