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Finding the Fourth Proportional to 32,798, 49,197 and 10,910

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Solution

The fourth proportional to 32,798, 49,197 and 10,910 is: 16,365

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,798 : 49,197 = 10,910 : x
  2. Step 2: Convert to fraction form
    32,798/49,197 = 10,910/x
  3. Step 3: Cross multiply
    32,798x = 49,197 × 10,910
  4. Step 4: Simplify right side
    32,798x = 536,739,270
  5. Step 5: Solve for x
    x = 536,739,270/32,798
  6. Step 6: Final answer
    x = 16,365

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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.