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Finding the Fourth Proportional to 97,599.33, 146,399.00 and 31,039.61

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Solution

The fourth proportional to 97,599.33, 146,399.00 and 31,039.61 is: 46,559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,599.33 : 146,399.00 = 31,039.61 : x
  2. Step 2: Convert to fraction form
    97,599.33/146,399.00 = 31,039.61/x
  3. Step 3: Cross multiply
    97,599.33x = 146,399.00 × 31,039.61
  4. Step 4: Simplify right side
    97,599.33x = 4,544,166,977.20
  5. Step 5: Solve for x
    x = 4,544,166,977.20/97,599.33
  6. Step 6: Final answer
    x = 46,559.41

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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.