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Finding the Fourth Proportional to 70,495.26, 105,742.89 and 35,410.32

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Solution

The fourth proportional to 70,495.26, 105,742.89 and 35,410.32 is: 53,115.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,495.26 : 105,742.89 = 35,410.32 : x
  2. Step 2: Convert to fraction form
    70,495.26/105,742.89 = 35,410.32/x
  3. Step 3: Cross multiply
    70,495.26x = 105,742.89 × 35,410.32
  4. Step 4: Simplify right side
    70,495.26x = 3,744,389,572.62
  5. Step 5: Solve for x
    x = 3,744,389,572.62/70,495.26
  6. Step 6: Final answer
    x = 53,115.48

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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.