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Finding the Fourth Proportional to 97,669.98, 146,524.50 and 41,509.62

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Solution

The fourth proportional to 97,669.98, 146,524.50 and 41,509.62 is: 62,272.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,669.98 : 146,524.50 = 41,509.62 : x
  2. Step 2: Convert to fraction form
    97,669.98/146,524.50 = 41,509.62/x
  3. Step 3: Cross multiply
    97,669.98x = 146,524.50 × 41,509.62
  4. Step 4: Simplify right side
    97,669.98x = 6,082,176,315.69
  5. Step 5: Solve for x
    x = 6,082,176,315.69/97,669.98
  6. Step 6: Final answer
    x = 62,272.73

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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.