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Finding the Fourth Proportional to 33,705, 50,557.50 and 9,081

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Solution

The fourth proportional to 33,705, 50,557.50 and 9,081 is: 13,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,705 : 50,557.50 = 9,081 : x
  2. Step 2: Convert to fraction form
    33,705/50,557.50 = 9,081/x
  3. Step 3: Cross multiply
    33,705x = 50,557.50 × 9,081
  4. Step 4: Simplify right side
    33,705x = 459,112,657.50
  5. Step 5: Solve for x
    x = 459,112,657.50/33,705
  6. Step 6: Final answer
    x = 13,621.50

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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.