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Finding the Fourth Proportional to 102,584.50, 153,896.70 and 39,400

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Solution

The fourth proportional to 102,584.50, 153,896.70 and 39,400 is: 59,107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,584.50 : 153,896.70 = 39,400 : x
  2. Step 2: Convert to fraction form
    102,584.50/153,896.70 = 39,400/x
  3. Step 3: Cross multiply
    102,584.50x = 153,896.70 × 39,400
  4. Step 4: Simplify right side
    102,584.50x = 6,063,529,980
  5. Step 5: Solve for x
    x = 6,063,529,980/102,584.50
  6. Step 6: Final answer
    x = 59,107.66

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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.