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Finding the Fourth Proportional to 62,851, 94,276.50 and 19,075

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Solution

The fourth proportional to 62,851, 94,276.50 and 19,075 is: 28,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,851 : 94,276.50 = 19,075 : x
  2. Step 2: Convert to fraction form
    62,851/94,276.50 = 19,075/x
  3. Step 3: Cross multiply
    62,851x = 94,276.50 × 19,075
  4. Step 4: Simplify right side
    62,851x = 1,798,324,237.50
  5. Step 5: Solve for x
    x = 1,798,324,237.50/62,851
  6. Step 6: Final answer
    x = 28,612.50

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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.