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Finding the Fourth Proportional to 54,231.84, 74,867.12 and 34,099.80

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Solution

The fourth proportional to 54,231.84, 74,867.12 and 34,099.80 is: 47,074.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,231.84 : 74,867.12 = 34,099.80 : x
  2. Step 2: Convert to fraction form
    54,231.84/74,867.12 = 34,099.80/x
  3. Step 3: Cross multiply
    54,231.84x = 74,867.12 × 34,099.80
  4. Step 4: Simplify right side
    54,231.84x = 2,552,953,818.58
  5. Step 5: Solve for x
    x = 2,552,953,818.58/54,231.84
  6. Step 6: Final answer
    x = 47,074.81

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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.