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Finding the Fourth Proportional to 35,203.58, 52,804.87 and 8,549.75

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Solution

The fourth proportional to 35,203.58, 52,804.87 and 8,549.75 is: 12,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,203.58 : 52,804.87 = 8,549.75 : x
  2. Step 2: Convert to fraction form
    35,203.58/52,804.87 = 8,549.75/x
  3. Step 3: Cross multiply
    35,203.58x = 52,804.87 × 8,549.75
  4. Step 4: Simplify right side
    35,203.58x = 451,468,173.26
  5. Step 5: Solve for x
    x = 451,468,173.26/35,203.58
  6. Step 6: Final answer
    x = 12,824.50

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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.