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Finding the Fourth Proportional to 103,444, 155,175 and 28,564.24

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Solution

The fourth proportional to 103,444, 155,175 and 28,564.24 is: 42,848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,444 : 155,175 = 28,564.24 : x
  2. Step 2: Convert to fraction form
    103,444/155,175 = 28,564.24/x
  3. Step 3: Cross multiply
    103,444x = 155,175 × 28,564.24
  4. Step 4: Simplify right side
    103,444x = 4,432,455,942
  5. Step 5: Solve for x
    x = 4,432,455,942/103,444
  6. Step 6: Final answer
    x = 42,848.85

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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.