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Finding the Fourth Proportional to 33,133.60, 49,699.21 and 14,413.65

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Solution

The fourth proportional to 33,133.60, 49,699.21 and 14,413.65 is: 21,619.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,133.60 : 49,699.21 = 14,413.65 : x
  2. Step 2: Convert to fraction form
    33,133.60/49,699.21 = 14,413.65/x
  3. Step 3: Cross multiply
    33,133.60x = 49,699.21 × 14,413.65
  4. Step 4: Simplify right side
    33,133.60x = 716,346,946.15
  5. Step 5: Solve for x
    x = 716,346,946.15/33,133.60
  6. Step 6: Final answer
    x = 21,619.96

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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.