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Finding the Fourth Proportional to 29,874.64, 41,241 and 17,296.96

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Solution

The fourth proportional to 29,874.64, 41,241 and 17,296.96 is: 23,877.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,874.64 : 41,241 = 17,296.96 : x
  2. Step 2: Convert to fraction form
    29,874.64/41,241 = 17,296.96/x
  3. Step 3: Cross multiply
    29,874.64x = 41,241 × 17,296.96
  4. Step 4: Simplify right side
    29,874.64x = 713,343,927.36
  5. Step 5: Solve for x
    x = 713,343,927.36/29,874.64
  6. Step 6: Final answer
    x = 23,877.91

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1.5x scale

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.