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Finding the Fourth Proportional to 34,885.44, 52,330.72 and 11,512

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Solution

The fourth proportional to 34,885.44, 52,330.72 and 11,512 is: 17,268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,885.44 : 52,330.72 = 11,512 : x
  2. Step 2: Convert to fraction form
    34,885.44/52,330.72 = 11,512/x
  3. Step 3: Cross multiply
    34,885.44x = 52,330.72 × 11,512
  4. Step 4: Simplify right side
    34,885.44x = 602,431,248.64
  5. Step 5: Solve for x
    x = 602,431,248.64/34,885.44
  6. Step 6: Final answer
    x = 17,268.84

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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.