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Finding the Fourth Proportional to 97,369.47, 146,048.70 and 34,192.50

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Solution

The fourth proportional to 97,369.47, 146,048.70 and 34,192.50 is: 51,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,369.47 : 146,048.70 = 34,192.50 : x
  2. Step 2: Convert to fraction form
    97,369.47/146,048.70 = 34,192.50/x
  3. Step 3: Cross multiply
    97,369.47x = 146,048.70 × 34,192.50
  4. Step 4: Simplify right side
    97,369.47x = 4,993,770,174.75
  5. Step 5: Solve for x
    x = 4,993,770,174.75/97,369.47
  6. Step 6: Final answer
    x = 51,286.82

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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.