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Finding the Fourth Proportional to 32,786, 49,179 and 10,898

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Solution

The fourth proportional to 32,786, 49,179 and 10,898 is: 16,347

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,786 : 49,179 = 10,898 : x
  2. Step 2: Convert to fraction form
    32,786/49,179 = 10,898/x
  3. Step 3: Cross multiply
    32,786x = 49,179 × 10,898
  4. Step 4: Simplify right side
    32,786x = 535,952,742
  5. Step 5: Solve for x
    x = 535,952,742/32,786
  6. Step 6: Final answer
    x = 16,347

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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.