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Finding the Fourth Proportional to 70,803.46, 106,270.82 and 35,767.72

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Solution

The fourth proportional to 70,803.46, 106,270.82 and 35,767.72 is: 53,684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,803.46 : 106,270.82 = 35,767.72 : x
  2. Step 2: Convert to fraction form
    70,803.46/106,270.82 = 35,767.72/x
  3. Step 3: Cross multiply
    70,803.46x = 106,270.82 × 35,767.72
  4. Step 4: Simplify right side
    70,803.46x = 3,801,064,223.74
  5. Step 5: Solve for x
    x = 3,801,064,223.74/70,803.46
  6. Step 6: Final answer
    x = 53,684.73

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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.