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Finding the Fourth Proportional to 46,271.20, 69,413.40 and 15,099.12

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Solution

The fourth proportional to 46,271.20, 69,413.40 and 15,099.12 is: 22,650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,271.20 : 69,413.40 = 15,099.12 : x
  2. Step 2: Convert to fraction form
    46,271.20/69,413.40 = 15,099.12/x
  3. Step 3: Cross multiply
    46,271.20x = 69,413.40 × 15,099.12
  4. Step 4: Simplify right side
    46,271.20x = 1,048,081,256.21
  5. Step 5: Solve for x
    x = 1,048,081,256.21/46,271.20
  6. Step 6: Final answer
    x = 22,650.83

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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.