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Finding the Fourth Proportional to 33,316, 49,976.88 and 8,692

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Solution

The fourth proportional to 33,316, 49,976.88 and 8,692 is: 13,038.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,316 : 49,976.88 = 8,692 : x
  2. Step 2: Convert to fraction form
    33,316/49,976.88 = 8,692/x
  3. Step 3: Cross multiply
    33,316x = 49,976.88 × 8,692
  4. Step 4: Simplify right side
    33,316x = 434,399,040.96
  5. Step 5: Solve for x
    x = 434,399,040.96/33,316
  6. Step 6: Final answer
    x = 13,038.75

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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.