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Finding the Fourth Proportional to 35,771.44, 53,657.84 and 12,398.64

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Solution

The fourth proportional to 35,771.44, 53,657.84 and 12,398.64 is: 18,598.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,771.44 : 53,657.84 = 12,398.64 : x
  2. Step 2: Convert to fraction form
    35,771.44/53,657.84 = 12,398.64/x
  3. Step 3: Cross multiply
    35,771.44x = 53,657.84 × 12,398.64
  4. Step 4: Simplify right side
    35,771.44x = 665,284,241.34
  5. Step 5: Solve for x
    x = 665,284,241.34/35,771.44
  6. Step 6: Final answer
    x = 18,598.20

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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.