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Finding the Fourth Proportional to 29,841, 41,170.50 and 17,261.16

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Solution

The fourth proportional to 29,841, 41,170.50 and 17,261.16 is: 23,814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,841 : 41,170.50 = 17,261.16 : x
  2. Step 2: Convert to fraction form
    29,841/41,170.50 = 17,261.16/x
  3. Step 3: Cross multiply
    29,841x = 41,170.50 × 17,261.16
  4. Step 4: Simplify right side
    29,841x = 710,650,587.78
  5. Step 5: Solve for x
    x = 710,650,587.78/29,841
  6. Step 6: Final answer
    x = 23,814.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.