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Finding the Fourth Proportional to 70,794.08, 106,256.82 and 35,758.34

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Solution

The fourth proportional to 70,794.08, 106,256.82 and 35,758.34 is: 53,670.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,794.08 : 106,256.82 = 35,758.34 : x
  2. Step 2: Convert to fraction form
    70,794.08/106,256.82 = 35,758.34/x
  3. Step 3: Cross multiply
    70,794.08x = 106,256.82 × 35,758.34
  4. Step 4: Simplify right side
    70,794.08x = 3,799,567,496.88
  5. Step 5: Solve for x
    x = 3,799,567,496.88/70,794.08
  6. Step 6: Final answer
    x = 53,670.70

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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.