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Finding the Fourth Proportional to 74,474.64, 111,736.80 and 30,077.46

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Solution

The fourth proportional to 74,474.64, 111,736.80 and 30,077.46 is: 45,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,474.64 : 111,736.80 = 30,077.46 : x
  2. Step 2: Convert to fraction form
    74,474.64/111,736.80 = 30,077.46/x
  3. Step 3: Cross multiply
    74,474.64x = 111,736.80 × 30,077.46
  4. Step 4: Simplify right side
    74,474.64x = 3,360,759,132.53
  5. Step 5: Solve for x
    x = 3,360,759,132.53/74,474.64
  6. Step 6: Final answer
    x = 45,126.22

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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.