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Finding the Fourth Proportional to 69,769.46, 104,667.16 and 32,304.80

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Solution

The fourth proportional to 69,769.46, 104,667.16 and 32,304.80 is: 48,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,769.46 : 104,667.16 = 32,304.80 : x
  2. Step 2: Convert to fraction form
    69,769.46/104,667.16 = 32,304.80/x
  3. Step 3: Cross multiply
    69,769.46x = 104,667.16 × 32,304.80
  4. Step 4: Simplify right side
    69,769.46x = 3,381,251,670.37
  5. Step 5: Solve for x
    x = 3,381,251,670.37/69,769.46
  6. Step 6: Final answer
    x = 48,463.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.