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Finding the Fourth Proportional to 35,237.70, 48,628.38 and 20,132.34

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Solution

The fourth proportional to 35,237.70, 48,628.38 and 20,132.34 is: 27,782.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,237.70 : 48,628.38 = 20,132.34 : x
  2. Step 2: Convert to fraction form
    35,237.70/48,628.38 = 20,132.34/x
  3. Step 3: Cross multiply
    35,237.70x = 48,628.38 × 20,132.34
  4. Step 4: Simplify right side
    35,237.70x = 979,003,079.81
  5. Step 5: Solve for x
    x = 979,003,079.81/35,237.70
  6. Step 6: Final answer
    x = 27,782.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.