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Finding the Fourth Proportional to 30,914.73, 46,339.72 and 14,285.68

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Solution

The fourth proportional to 30,914.73, 46,339.72 and 14,285.68 is: 21,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,914.73 : 46,339.72 = 14,285.68 : x
  2. Step 2: Convert to fraction form
    30,914.73/46,339.72 = 14,285.68/x
  3. Step 3: Cross multiply
    30,914.73x = 46,339.72 × 14,285.68
  4. Step 4: Simplify right side
    30,914.73x = 661,994,411.21
  5. Step 5: Solve for x
    x = 661,994,411.21/30,914.73
  6. Step 6: Final answer
    x = 21,413.56

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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.