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Finding the Fourth Proportional to 33,985.69, 50,989.37 and 14,258.95

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Solution

The fourth proportional to 33,985.69, 50,989.37 and 14,258.95 is: 21,392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,985.69 : 50,989.37 = 14,258.95 : x
  2. Step 2: Convert to fraction form
    33,985.69/50,989.37 = 14,258.95/x
  3. Step 3: Cross multiply
    33,985.69x = 50,989.37 × 14,258.95
  4. Step 4: Simplify right side
    33,985.69x = 727,054,678.59
  5. Step 5: Solve for x
    x = 727,054,678.59/33,985.69
  6. Step 6: Final answer
    x = 21,392.97

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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.