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Finding the Fourth Proportional to 46,473.83, 69,710.97 and 11,413.49

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Solution

The fourth proportional to 46,473.83, 69,710.97 and 11,413.49 is: 17,120.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,473.83 : 69,710.97 = 11,413.49 : x
  2. Step 2: Convert to fraction form
    46,473.83/69,710.97 = 11,413.49/x
  3. Step 3: Cross multiply
    46,473.83x = 69,710.97 × 11,413.49
  4. Step 4: Simplify right side
    46,473.83x = 795,645,110.43
  5. Step 5: Solve for x
    x = 795,645,110.43/46,473.83
  6. Step 6: Final answer
    x = 17,120.28

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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.