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Finding the Fourth Proportional to 102,384, 153,576 and 28,512

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Solution

The fourth proportional to 102,384, 153,576 and 28,512 is: 42,768

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,384 : 153,576 = 28,512 : x
  2. Step 2: Convert to fraction form
    102,384/153,576 = 28,512/x
  3. Step 3: Cross multiply
    102,384x = 153,576 × 28,512
  4. Step 4: Simplify right side
    102,384x = 4,378,758,912
  5. Step 5: Solve for x
    x = 4,378,758,912/102,384
  6. Step 6: Final answer
    x = 42,768

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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.