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Finding the Fourth Proportional to 33,583.40, 50,376.90 and 10,208.06

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Solution

The fourth proportional to 33,583.40, 50,376.90 and 10,208.06 is: 15,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,583.40 : 50,376.90 = 10,208.06 : x
  2. Step 2: Convert to fraction form
    33,583.40/50,376.90 = 10,208.06/x
  3. Step 3: Cross multiply
    33,583.40x = 50,376.90 × 10,208.06
  4. Step 4: Simplify right side
    33,583.40x = 514,250,417.81
  5. Step 5: Solve for x
    x = 514,250,417.81/33,583.40
  6. Step 6: Final answer
    x = 15,312.64

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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.