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Finding the Fourth Proportional to 54,006, 74,530.44 and 30,134.76

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Solution

The fourth proportional to 54,006, 74,530.44 and 30,134.76 is: 41,587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,006 : 74,530.44 = 30,134.76 : x
  2. Step 2: Convert to fraction form
    54,006/74,530.44 = 30,134.76/x
  3. Step 3: Cross multiply
    54,006x = 74,530.44 × 30,134.76
  4. Step 4: Simplify right side
    54,006x = 2,245,956,922.09
  5. Step 5: Solve for x
    x = 2,245,956,922.09/54,006
  6. Step 6: Final answer
    x = 41,587.17

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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.