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Finding the Fourth Proportional to 73,865.52, 110,838.24 and 34,413.12

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Solution

The fourth proportional to 73,865.52, 110,838.24 and 34,413.12 is: 51,638.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,865.52 : 110,838.24 = 34,413.12 : x
  2. Step 2: Convert to fraction form
    73,865.52/110,838.24 = 34,413.12/x
  3. Step 3: Cross multiply
    73,865.52x = 110,838.24 × 34,413.12
  4. Step 4: Simplify right side
    73,865.52x = 3,814,289,653.71
  5. Step 5: Solve for x
    x = 3,814,289,653.71/73,865.52
  6. Step 6: Final answer
    x = 51,638.30

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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.