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Finding the Fourth Proportional to 33,902.04, 50,853.54 and 10,527

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Solution

The fourth proportional to 33,902.04, 50,853.54 and 10,527 is: 15,790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,902.04 : 50,853.54 = 10,527 : x
  2. Step 2: Convert to fraction form
    33,902.04/50,853.54 = 10,527/x
  3. Step 3: Cross multiply
    33,902.04x = 50,853.54 × 10,527
  4. Step 4: Simplify right side
    33,902.04x = 535,335,215.58
  5. Step 5: Solve for x
    x = 535,335,215.58/33,902.04
  6. Step 6: Final answer
    x = 15,790.65

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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.