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Finding the Fourth Proportional to 33,084.64, 49,599.05 and 14,350.56

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Solution

The fourth proportional to 33,084.64, 49,599.05 and 14,350.56 is: 21,513.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,084.64 : 49,599.05 = 14,350.56 : x
  2. Step 2: Convert to fraction form
    33,084.64/49,599.05 = 14,350.56/x
  3. Step 3: Cross multiply
    33,084.64x = 49,599.05 × 14,350.56
  4. Step 4: Simplify right side
    33,084.64x = 711,774,071.22
  5. Step 5: Solve for x
    x = 711,774,071.22/33,084.64
  6. Step 6: Final answer
    x = 21,513.74

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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.