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Finding the Fourth Proportional to 70,201.94, 105,243.67 and 32,742.27

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Solution

The fourth proportional to 70,201.94, 105,243.67 and 32,742.27 is: 49,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,201.94 : 105,243.67 = 32,742.27 : x
  2. Step 2: Convert to fraction form
    70,201.94/105,243.67 = 32,742.27/x
  3. Step 3: Cross multiply
    70,201.94x = 105,243.67 × 32,742.27
  4. Step 4: Simplify right side
    70,201.94x = 3,445,916,577.08
  5. Step 5: Solve for x
    x = 3,445,916,577.08/70,201.94
  6. Step 6: Final answer
    x = 49,085.78

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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.