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Finding the Fourth Proportional to 23,467.50, 35,200.88 and 5,698.31

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Solution

The fourth proportional to 23,467.50, 35,200.88 and 5,698.31 is: 8,547.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,467.50 : 35,200.88 = 5,698.31 : x
  2. Step 2: Convert to fraction form
    23,467.50/35,200.88 = 5,698.31/x
  3. Step 3: Cross multiply
    23,467.50x = 35,200.88 × 5,698.31
  4. Step 4: Simplify right side
    23,467.50x = 200,585,322.02
  5. Step 5: Solve for x
    x = 200,585,322.02/23,467.50
  6. Step 6: Final answer
    x = 8,547.37

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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.