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Finding the Fourth Proportional to 97,596.70, 146,409.62 and 31,039

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Solution

The fourth proportional to 97,596.70, 146,409.62 and 31,039 is: 46,563.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,596.70 : 146,409.62 = 31,039 : x
  2. Step 2: Convert to fraction form
    97,596.70/146,409.62 = 31,039/x
  3. Step 3: Cross multiply
    97,596.70x = 146,409.62 × 31,039
  4. Step 4: Simplify right side
    97,596.70x = 4,544,408,195.18
  5. Step 5: Solve for x
    x = 4,544,408,195.18/97,596.70
  6. Step 6: Final answer
    x = 46,563.13

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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.