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Finding the Fourth Proportional to 54,972.60, 82,361.70 and 48,751.80

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Solution

The fourth proportional to 54,972.60, 82,361.70 and 48,751.80 is: 73,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,972.60 : 82,361.70 = 48,751.80 : x
  2. Step 2: Convert to fraction form
    54,972.60/82,361.70 = 48,751.80/x
  3. Step 3: Cross multiply
    54,972.60x = 82,361.70 × 48,751.80
  4. Step 4: Simplify right side
    54,972.60x = 4,015,281,126.06
  5. Step 5: Solve for x
    x = 4,015,281,126.06/54,972.60
  6. Step 6: Final answer
    x = 73,041.50

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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.