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Finding the Fourth Proportional to 74,075.49, 111,124.78 and 24,144

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Solution

The fourth proportional to 74,075.49, 111,124.78 and 24,144 is: 36,219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,075.49 : 111,124.78 = 24,144 : x
  2. Step 2: Convert to fraction form
    74,075.49/111,124.78 = 24,144/x
  3. Step 3: Cross multiply
    74,075.49x = 111,124.78 × 24,144
  4. Step 4: Simplify right side
    74,075.49x = 2,682,996,688.32
  5. Step 5: Solve for x
    x = 2,682,996,688.32/74,075.49
  6. Step 6: Final answer
    x = 36,219.76

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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.