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Finding the Fourth Proportional to 35,122, 52,672.07 and 11,742.97

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Solution

The fourth proportional to 35,122, 52,672.07 and 11,742.97 is: 17,610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,122 : 52,672.07 = 11,742.97 : x
  2. Step 2: Convert to fraction form
    35,122/52,672.07 = 11,742.97/x
  3. Step 3: Cross multiply
    35,122x = 52,672.07 × 11,742.97
  4. Step 4: Simplify right side
    35,122x = 618,526,479.13
  5. Step 5: Solve for x
    x = 618,526,479.13/35,122
  6. Step 6: Final answer
    x = 17,610.80

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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.