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Finding the Fourth Proportional to 34,783.26, 52,164.09 and 11,404.50

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Solution

The fourth proportional to 34,783.26, 52,164.09 and 11,404.50 is: 17,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,783.26 : 52,164.09 = 11,404.50 : x
  2. Step 2: Convert to fraction form
    34,783.26/52,164.09 = 11,404.50/x
  3. Step 3: Cross multiply
    34,783.26x = 52,164.09 × 11,404.50
  4. Step 4: Simplify right side
    34,783.26x = 594,905,364.41
  5. Step 5: Solve for x
    x = 594,905,364.41/34,783.26
  6. Step 6: Final answer
    x = 17,103.21

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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.