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Finding the Fourth Proportional to 73,234.70, 101,070.19 and 41,409.26

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Solution

The fourth proportional to 73,234.70, 101,070.19 and 41,409.26 is: 57,148.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,234.70 : 101,070.19 = 41,409.26 : x
  2. Step 2: Convert to fraction form
    73,234.70/101,070.19 = 41,409.26/x
  3. Step 3: Cross multiply
    73,234.70x = 101,070.19 × 41,409.26
  4. Step 4: Simplify right side
    73,234.70x = 4,185,241,775.96
  5. Step 5: Solve for x
    x = 4,185,241,775.96/73,234.70
  6. Step 6: Final answer
    x = 57,148.34

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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.