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Finding the Fourth Proportional to 33,134.76, 49,722.66 and 13,413.51

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Solution

The fourth proportional to 33,134.76, 49,722.66 and 13,413.51 is: 20,128.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,134.76 : 49,722.66 = 13,413.51 : x
  2. Step 2: Convert to fraction form
    33,134.76/49,722.66 = 13,413.51/x
  3. Step 3: Cross multiply
    33,134.76x = 49,722.66 × 13,413.51
  4. Step 4: Simplify right side
    33,134.76x = 666,955,397.14
  5. Step 5: Solve for x
    x = 666,955,397.14/33,134.76
  6. Step 6: Final answer
    x = 20,128.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.