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Finding the Fourth Proportional to 70,484.16, 105,667 and 33,024.48

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Solution

The fourth proportional to 70,484.16, 105,667 and 33,024.48 is: 49,508.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,484.16 : 105,667 = 33,024.48 : x
  2. Step 2: Convert to fraction form
    70,484.16/105,667 = 33,024.48/x
  3. Step 3: Cross multiply
    70,484.16x = 105,667 × 33,024.48
  4. Step 4: Simplify right side
    70,484.16x = 3,489,597,728.16
  5. Step 5: Solve for x
    x = 3,489,597,728.16/70,484.16
  6. Step 6: Final answer
    x = 49,508.96

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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.