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Finding the Fourth Proportional to 33,585.03, 50,372.01 and 10,206

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Solution

The fourth proportional to 33,585.03, 50,372.01 and 10,206 is: 15,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,585.03 : 50,372.01 = 10,206 : x
  2. Step 2: Convert to fraction form
    33,585.03/50,372.01 = 10,206/x
  3. Step 3: Cross multiply
    33,585.03x = 50,372.01 × 10,206
  4. Step 4: Simplify right side
    33,585.03x = 514,096,734.06
  5. Step 5: Solve for x
    x = 514,096,734.06/33,585.03
  6. Step 6: Final answer
    x = 15,307.32

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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.