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Finding the Fourth Proportional to 25,543, 38,314.50 and 7,075

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Solution

The fourth proportional to 25,543, 38,314.50 and 7,075 is: 10,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,543 : 38,314.50 = 7,075 : x
  2. Step 2: Convert to fraction form
    25,543/38,314.50 = 7,075/x
  3. Step 3: Cross multiply
    25,543x = 38,314.50 × 7,075
  4. Step 4: Simplify right side
    25,543x = 271,075,087.50
  5. Step 5: Solve for x
    x = 271,075,087.50/25,543
  6. Step 6: Final answer
    x = 10,612.50

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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.