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Finding the Fourth Proportional to 54,674.46, 75,460.68 and 32,014.44

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Solution

The fourth proportional to 54,674.46, 75,460.68 and 32,014.44 is: 44,185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,674.46 : 75,460.68 = 32,014.44 : x
  2. Step 2: Convert to fraction form
    54,674.46/75,460.68 = 32,014.44/x
  3. Step 3: Cross multiply
    54,674.46x = 75,460.68 × 32,014.44
  4. Step 4: Simplify right side
    54,674.46x = 2,415,831,412.22
  5. Step 5: Solve for x
    x = 2,415,831,412.22/54,674.46
  6. Step 6: Final answer
    x = 44,185.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.