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Finding the Fourth Proportional to 33,798, 50,662.98 and 14,087.46

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Solution

The fourth proportional to 33,798, 50,662.98 and 14,087.46 is: 21,117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,798 : 50,662.98 = 14,087.46 : x
  2. Step 2: Convert to fraction form
    33,798/50,662.98 = 14,087.46/x
  3. Step 3: Cross multiply
    33,798x = 50,662.98 × 14,087.46
  4. Step 4: Simplify right side
    33,798x = 713,712,704.23
  5. Step 5: Solve for x
    x = 713,712,704.23/33,798
  6. Step 6: Final answer
    x = 21,117.01

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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.