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Finding the Fourth Proportional to 73,065.70, 100,832 and 41,228.45

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Solution

The fourth proportional to 73,065.70, 100,832 and 41,228.45 is: 56,896.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,065.70 : 100,832 = 41,228.45 : x
  2. Step 2: Convert to fraction form
    73,065.70/100,832 = 41,228.45/x
  3. Step 3: Cross multiply
    73,065.70x = 100,832 × 41,228.45
  4. Step 4: Simplify right side
    73,065.70x = 4,157,147,070.40
  5. Step 5: Solve for x
    x = 4,157,147,070.40/73,065.70
  6. Step 6: Final answer
    x = 56,896.01

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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.