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Finding the Fourth Proportional to 49,075.84, 67,724.48 and 26,720

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Solution

The fourth proportional to 49,075.84, 67,724.48 and 26,720 is: 36,873.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,075.84 : 67,724.48 = 26,720 : x
  2. Step 2: Convert to fraction form
    49,075.84/67,724.48 = 26,720/x
  3. Step 3: Cross multiply
    49,075.84x = 67,724.48 × 26,720
  4. Step 4: Simplify right side
    49,075.84x = 1,809,598,105.60
  5. Step 5: Solve for x
    x = 1,809,598,105.60/49,075.84
  6. Step 6: Final answer
    x = 36,873.50

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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.