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Finding the Fourth Proportional to 70,764.29, 106,090.58 and 35,206.19

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Solution

The fourth proportional to 70,764.29, 106,090.58 and 35,206.19 is: 52,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,764.29 : 106,090.58 = 35,206.19 : x
  2. Step 2: Convert to fraction form
    70,764.29/106,090.58 = 35,206.19/x
  3. Step 3: Cross multiply
    70,764.29x = 106,090.58 × 35,206.19
  4. Step 4: Simplify right side
    70,764.29x = 3,735,045,072.09
  5. Step 5: Solve for x
    x = 3,735,045,072.09/70,764.29
  6. Step 6: Final answer
    x = 52,781.50

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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.