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Finding the Fourth Proportional to 97,651.67, 146,500.06 and 31,091.69

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Solution

The fourth proportional to 97,651.67, 146,500.06 and 31,091.69 is: 46,644.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,651.67 : 146,500.06 = 31,091.69 : x
  2. Step 2: Convert to fraction form
    97,651.67/146,500.06 = 31,091.69/x
  3. Step 3: Cross multiply
    97,651.67x = 146,500.06 × 31,091.69
  4. Step 4: Simplify right side
    97,651.67x = 4,554,934,739.02
  5. Step 5: Solve for x
    x = 4,554,934,739.02/97,651.67
  6. Step 6: Final answer
    x = 46,644.72

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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.