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Finding the Fourth Proportional to 97,585.98, 146,465.37 and 50,234.46

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Solution

The fourth proportional to 97,585.98, 146,465.37 and 50,234.46 is: 75,396.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,585.98 : 146,465.37 = 50,234.46 : x
  2. Step 2: Convert to fraction form
    97,585.98/146,465.37 = 50,234.46/x
  3. Step 3: Cross multiply
    97,585.98x = 146,465.37 × 50,234.46
  4. Step 4: Simplify right side
    97,585.98x = 7,357,608,770.65
  5. Step 5: Solve for x
    x = 7,357,608,770.65/97,585.98
  6. Step 6: Final answer
    x = 75,396.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.