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Finding the Fourth Proportional to 98,029, 146,993.82 and 41,860.36

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Solution

The fourth proportional to 98,029, 146,993.82 and 41,860.36 is: 62,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,029 : 146,993.82 = 41,860.36 : x
  2. Step 2: Convert to fraction form
    98,029/146,993.82 = 41,860.36/x
  3. Step 3: Cross multiply
    98,029x = 146,993.82 × 41,860.36
  4. Step 4: Simplify right side
    98,029x = 6,153,214,222.98
  5. Step 5: Solve for x
    x = 6,153,214,222.98/98,029
  6. Step 6: Final answer
    x = 62,769.33

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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.