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Finding the Fourth Proportional to 100,393, 150,598.14 and 26,521

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Solution

The fourth proportional to 100,393, 150,598.14 and 26,521 is: 39,783.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,393 : 150,598.14 = 26,521 : x
  2. Step 2: Convert to fraction form
    100,393/150,598.14 = 26,521/x
  3. Step 3: Cross multiply
    100,393x = 150,598.14 × 26,521
  4. Step 4: Simplify right side
    100,393x = 3,994,013,270.94
  5. Step 5: Solve for x
    x = 3,994,013,270.94/100,393
  6. Step 6: Final answer
    x = 39,783.78

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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.