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Finding the Fourth Proportional to 98,678.61, 148,027.26 and 27,601.26

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Solution

The fourth proportional to 98,678.61, 148,027.26 and 27,601.26 is: 41,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,678.61 : 148,027.26 = 27,601.26 : x
  2. Step 2: Convert to fraction form
    98,678.61/148,027.26 = 27,601.26/x
  3. Step 3: Cross multiply
    98,678.61x = 148,027.26 × 27,601.26
  4. Step 4: Simplify right side
    98,678.61x = 4,085,738,890.35
  5. Step 5: Solve for x
    x = 4,085,738,890.35/98,678.61
  6. Step 6: Final answer
    x = 41,404.50

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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.