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Finding the Fourth Proportional to 54,134.56, 74,657.30 and 33,993.32

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Solution

The fourth proportional to 54,134.56, 74,657.30 and 33,993.32 is: 46,880.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,134.56 : 74,657.30 = 33,993.32 : x
  2. Step 2: Convert to fraction form
    54,134.56/74,657.30 = 33,993.32/x
  3. Step 3: Cross multiply
    54,134.56x = 74,657.30 × 33,993.32
  4. Step 4: Simplify right side
    54,134.56x = 2,537,849,489.24
  5. Step 5: Solve for x
    x = 2,537,849,489.24/54,134.56
  6. Step 6: Final answer
    x = 46,880.39

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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.