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Finding the Fourth Proportional to 33,985.57, 50,989.18 and 14,258.83

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Solution

The fourth proportional to 33,985.57, 50,989.18 and 14,258.83 is: 21,392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,985.57 : 50,989.18 = 14,258.83 : x
  2. Step 2: Convert to fraction form
    33,985.57/50,989.18 = 14,258.83/x
  3. Step 3: Cross multiply
    33,985.57x = 50,989.18 × 14,258.83
  4. Step 4: Simplify right side
    33,985.57x = 727,045,794.51
  5. Step 5: Solve for x
    x = 727,045,794.51/33,985.57
  6. Step 6: Final answer
    x = 21,392.78

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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.