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Finding the Fourth Proportional to 32,768, 49,152 and 10,880

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Solution

The fourth proportional to 32,768, 49,152 and 10,880 is: 16,320

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,768 : 49,152 = 10,880 : x
  2. Step 2: Convert to fraction form
    32,768/49,152 = 10,880/x
  3. Step 3: Cross multiply
    32,768x = 49,152 × 10,880
  4. Step 4: Simplify right side
    32,768x = 534,773,760
  5. Step 5: Solve for x
    x = 534,773,760/32,768
  6. Step 6: Final answer
    x = 16,320

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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.