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Finding the Fourth Proportional to 72,051.20, 107,947.20 and 61,683.20

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Solution

The fourth proportional to 72,051.20, 107,947.20 and 61,683.20 is: 92,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,051.20 : 107,947.20 = 61,683.20 : x
  2. Step 2: Convert to fraction form
    72,051.20/107,947.20 = 61,683.20/x
  3. Step 3: Cross multiply
    72,051.20x = 107,947.20 × 61,683.20
  4. Step 4: Simplify right side
    72,051.20x = 6,658,528,727.04
  5. Step 5: Solve for x
    x = 6,658,528,727.04/72,051.20
  6. Step 6: Final answer
    x = 92,413.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.