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Finding the Fourth Proportional to 51,977.75, 77,971.49 and 16,907.99

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Solution

The fourth proportional to 51,977.75, 77,971.49 and 16,907.99 is: 25,363.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,977.75 : 77,971.49 = 16,907.99 : x
  2. Step 2: Convert to fraction form
    51,977.75/77,971.49 = 16,907.99/x
  3. Step 3: Cross multiply
    51,977.75x = 77,971.49 × 16,907.99
  4. Step 4: Simplify right side
    51,977.75x = 1,318,341,173.21
  5. Step 5: Solve for x
    x = 1,318,341,173.21/51,977.75
  6. Step 6: Final answer
    x = 25,363.57

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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.