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Finding the Fourth Proportional to 107,040, 160,569.12 and 33,168

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Solution

The fourth proportional to 107,040, 160,569.12 and 33,168 is: 49,754.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,040 : 160,569.12 = 33,168 : x
  2. Step 2: Convert to fraction form
    107,040/160,569.12 = 33,168/x
  3. Step 3: Cross multiply
    107,040x = 160,569.12 × 33,168
  4. Step 4: Simplify right side
    107,040x = 5,325,756,572.16
  5. Step 5: Solve for x
    x = 5,325,756,572.16/107,040
  6. Step 6: Final answer
    x = 49,754.83

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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.