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Finding the Fourth Proportional to 30,542.78, 42,169.68 and 19,075.20

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Solution

The fourth proportional to 30,542.78, 42,169.68 and 19,075.20 is: 26,336.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,542.78 : 42,169.68 = 19,075.20 : x
  2. Step 2: Convert to fraction form
    30,542.78/42,169.68 = 19,075.20/x
  3. Step 3: Cross multiply
    30,542.78x = 42,169.68 × 19,075.20
  4. Step 4: Simplify right side
    30,542.78x = 804,395,079.94
  5. Step 5: Solve for x
    x = 804,395,079.94/30,542.78
  6. Step 6: Final answer
    x = 26,336.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.