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Finding the Fourth Proportional to 70,902, 106,353 and 29,350.08

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Solution

The fourth proportional to 70,902, 106,353 and 29,350.08 is: 44,025.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,902 : 106,353 = 29,350.08 : x
  2. Step 2: Convert to fraction form
    70,902/106,353 = 29,350.08/x
  3. Step 3: Cross multiply
    70,902x = 106,353 × 29,350.08
  4. Step 4: Simplify right side
    70,902x = 3,121,469,058.24
  5. Step 5: Solve for x
    x = 3,121,469,058.24/70,902
  6. Step 6: Final answer
    x = 44,025.12

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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.