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Finding the Fourth Proportional to 103,576, 155,364 and 25,752

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Solution

The fourth proportional to 103,576, 155,364 and 25,752 is: 38,628

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,576 : 155,364 = 25,752 : x
  2. Step 2: Convert to fraction form
    103,576/155,364 = 25,752/x
  3. Step 3: Cross multiply
    103,576x = 155,364 × 25,752
  4. Step 4: Simplify right side
    103,576x = 4,000,933,728
  5. Step 5: Solve for x
    x = 4,000,933,728/103,576
  6. Step 6: Final answer
    x = 38,628

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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.