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Finding the Fourth Proportional to 70,703.12, 106,054.68 and 29,149.04

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Solution

The fourth proportional to 70,703.12, 106,054.68 and 29,149.04 is: 43,723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,703.12 : 106,054.68 = 29,149.04 : x
  2. Step 2: Convert to fraction form
    70,703.12/106,054.68 = 29,149.04/x
  3. Step 3: Cross multiply
    70,703.12x = 106,054.68 × 29,149.04
  4. Step 4: Simplify right side
    70,703.12x = 3,091,392,109.51
  5. Step 5: Solve for x
    x = 3,091,392,109.51/70,703.12
  6. Step 6: Final answer
    x = 43,723.56

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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.