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Finding the Fourth Proportional to 34,798, 48,021.24 and 19,894

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Solution

The fourth proportional to 34,798, 48,021.24 and 19,894 is: 27,453.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,798 : 48,021.24 = 19,894 : x
  2. Step 2: Convert to fraction form
    34,798/48,021.24 = 19,894/x
  3. Step 3: Cross multiply
    34,798x = 48,021.24 × 19,894
  4. Step 4: Simplify right side
    34,798x = 955,334,548.56
  5. Step 5: Solve for x
    x = 955,334,548.56/34,798
  6. Step 6: Final answer
    x = 27,453.72

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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.