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Finding the Fourth Proportional to 22,048.70, 33,075.23 and 7,052.05

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Solution

The fourth proportional to 22,048.70, 33,075.23 and 7,052.05 is: 10,578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,048.70 : 33,075.23 = 7,052.05 : x
  2. Step 2: Convert to fraction form
    22,048.70/33,075.23 = 7,052.05/x
  3. Step 3: Cross multiply
    22,048.70x = 33,075.23 × 7,052.05
  4. Step 4: Simplify right side
    22,048.70x = 233,248,010.35
  5. Step 5: Solve for x
    x = 233,248,010.35/22,048.70
  6. Step 6: Final answer
    x = 10,578.77

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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.