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Finding the Fourth Proportional to 97,348.50, 146,048.67 and 30,789.84

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Solution

The fourth proportional to 97,348.50, 146,048.67 and 30,789.84 is: 46,192.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,348.50 : 146,048.67 = 30,789.84 : x
  2. Step 2: Convert to fraction form
    97,348.50/146,048.67 = 30,789.84/x
  3. Step 3: Cross multiply
    97,348.50x = 146,048.67 × 30,789.84
  4. Step 4: Simplify right side
    97,348.50x = 4,496,815,181.51
  5. Step 5: Solve for x
    x = 4,496,815,181.51/97,348.50
  6. Step 6: Final answer
    x = 46,192.96

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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.