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Finding the Fourth Proportional to 74,075.28, 111,128.28 and 24,826

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Solution

The fourth proportional to 74,075.28, 111,128.28 and 24,826 is: 37,244.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,075.28 : 111,128.28 = 24,826 : x
  2. Step 2: Convert to fraction form
    74,075.28/111,128.28 = 24,826/x
  3. Step 3: Cross multiply
    74,075.28x = 111,128.28 × 24,826
  4. Step 4: Simplify right side
    74,075.28x = 2,758,870,679.28
  5. Step 5: Solve for x
    x = 2,758,870,679.28/74,075.28
  6. Step 6: Final answer
    x = 37,244.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.