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Finding the Fourth Proportional to 97,597.44, 146,292.46 and 38,424.96

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Solution

The fourth proportional to 97,597.44, 146,292.46 and 38,424.96 is: 57,596.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,597.44 : 146,292.46 = 38,424.96 : x
  2. Step 2: Convert to fraction form
    97,597.44/146,292.46 = 38,424.96/x
  3. Step 3: Cross multiply
    97,597.44x = 146,292.46 × 38,424.96
  4. Step 4: Simplify right side
    97,597.44x = 5,621,281,923.80
  5. Step 5: Solve for x
    x = 5,621,281,923.80/97,597.44
  6. Step 6: Final answer
    x = 57,596.61

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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.