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Finding the Fourth Proportional to 35,344.98, 53,016.08 and 11,971.41

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Solution

The fourth proportional to 35,344.98, 53,016.08 and 11,971.41 is: 17,956.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,344.98 : 53,016.08 = 11,971.41 : x
  2. Step 2: Convert to fraction form
    35,344.98/53,016.08 = 11,971.41/x
  3. Step 3: Cross multiply
    35,344.98x = 53,016.08 × 11,971.41
  4. Step 4: Simplify right side
    35,344.98x = 634,677,170.42
  5. Step 5: Solve for x
    x = 634,677,170.42/35,344.98
  6. Step 6: Final answer
    x = 17,956.64

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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.