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Finding the Fourth Proportional to 32,784, 49,176 and 10,896

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Solution

The fourth proportional to 32,784, 49,176 and 10,896 is: 16,344

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,784 : 49,176 = 10,896 : x
  2. Step 2: Convert to fraction form
    32,784/49,176 = 10,896/x
  3. Step 3: Cross multiply
    32,784x = 49,176 × 10,896
  4. Step 4: Simplify right side
    32,784x = 535,821,696
  5. Step 5: Solve for x
    x = 535,821,696/32,784
  6. Step 6: Final answer
    x = 16,344

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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.