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Finding the Fourth Proportional to 70,749.12, 106,146.72 and 33,816

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Solution

The fourth proportional to 70,749.12, 106,146.72 and 33,816 is: 50,735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,749.12 : 106,146.72 = 33,816 : x
  2. Step 2: Convert to fraction form
    70,749.12/106,146.72 = 33,816/x
  3. Step 3: Cross multiply
    70,749.12x = 106,146.72 × 33,816
  4. Step 4: Simplify right side
    70,749.12x = 3,589,457,483.52
  5. Step 5: Solve for x
    x = 3,589,457,483.52/70,749.12
  6. Step 6: Final answer
    x = 50,735.01

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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.