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Finding the Fourth Proportional to 97,376.67, 146,072.88 and 29,923.56

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Solution

The fourth proportional to 97,376.67, 146,072.88 and 29,923.56 is: 44,887.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,376.67 : 146,072.88 = 29,923.56 : x
  2. Step 2: Convert to fraction form
    97,376.67/146,072.88 = 29,923.56/x
  3. Step 3: Cross multiply
    97,376.67x = 146,072.88 × 29,923.56
  4. Step 4: Simplify right side
    97,376.67x = 4,371,020,589.05
  5. Step 5: Solve for x
    x = 4,371,020,589.05/97,376.67
  6. Step 6: Final answer
    x = 44,887.76

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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.