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Finding the Fourth Proportional to 46,138.62, 69,164.19 and 14,952

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Solution

The fourth proportional to 46,138.62, 69,164.19 and 14,952 is: 22,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,138.62 : 69,164.19 = 14,952 : x
  2. Step 2: Convert to fraction form
    46,138.62/69,164.19 = 14,952/x
  3. Step 3: Cross multiply
    46,138.62x = 69,164.19 × 14,952
  4. Step 4: Simplify right side
    46,138.62x = 1,034,142,968.88
  5. Step 5: Solve for x
    x = 1,034,142,968.88/46,138.62
  6. Step 6: Final answer
    x = 22,413.83

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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.