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Finding the Fourth Proportional to 19,947.48, 29,922.48 and 10,075.20

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Solution

The fourth proportional to 19,947.48, 29,922.48 and 10,075.20 is: 15,113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,947.48 : 29,922.48 = 10,075.20 : x
  2. Step 2: Convert to fraction form
    19,947.48/29,922.48 = 10,075.20/x
  3. Step 3: Cross multiply
    19,947.48x = 29,922.48 × 10,075.20
  4. Step 4: Simplify right side
    19,947.48x = 301,474,970.50
  5. Step 5: Solve for x
    x = 301,474,970.50/19,947.48
  6. Step 6: Final answer
    x = 15,113.44

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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.