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Finding the Fourth Proportional to 34,172.74, 47,164.36 and 22,088.06

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Solution

The fourth proportional to 34,172.74, 47,164.36 and 22,088.06 is: 30,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,172.74 : 47,164.36 = 22,088.06 : x
  2. Step 2: Convert to fraction form
    34,172.74/47,164.36 = 22,088.06/x
  3. Step 3: Cross multiply
    34,172.74x = 47,164.36 × 22,088.06
  4. Step 4: Simplify right side
    34,172.74x = 1,041,769,213.54
  5. Step 5: Solve for x
    x = 1,041,769,213.54/34,172.74
  6. Step 6: Final answer
    x = 30,485.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.