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Finding the Fourth Proportional to 23,383.70, 35,075.52 and 5,853.50

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Solution

The fourth proportional to 23,383.70, 35,075.52 and 5,853.50 is: 8,780.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,383.70 : 35,075.52 = 5,853.50 : x
  2. Step 2: Convert to fraction form
    23,383.70/35,075.52 = 5,853.50/x
  3. Step 3: Cross multiply
    23,383.70x = 35,075.52 × 5,853.50
  4. Step 4: Simplify right side
    23,383.70x = 205,314,556.32
  5. Step 5: Solve for x
    x = 205,314,556.32/23,383.70
  6. Step 6: Final answer
    x = 8,780.24

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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.