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Finding the Fourth Proportional to 24,543, 36,814.50 and 6,075

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Solution

The fourth proportional to 24,543, 36,814.50 and 6,075 is: 9,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,543 : 36,814.50 = 6,075 : x
  2. Step 2: Convert to fraction form
    24,543/36,814.50 = 6,075/x
  3. Step 3: Cross multiply
    24,543x = 36,814.50 × 6,075
  4. Step 4: Simplify right side
    24,543x = 223,648,087.50
  5. Step 5: Solve for x
    x = 223,648,087.50/24,543
  6. Step 6: Final answer
    x = 9,112.50

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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.