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Finding the Fourth Proportional to 54,482.94, 81,724.41 and 23,296.32

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Solution

The fourth proportional to 54,482.94, 81,724.41 and 23,296.32 is: 34,944.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,482.94 : 81,724.41 = 23,296.32 : x
  2. Step 2: Convert to fraction form
    54,482.94/81,724.41 = 23,296.32/x
  3. Step 3: Cross multiply
    54,482.94x = 81,724.41 × 23,296.32
  4. Step 4: Simplify right side
    54,482.94x = 1,903,878,007.17
  5. Step 5: Solve for x
    x = 1,903,878,007.17/54,482.94
  6. Step 6: Final answer
    x = 34,944.48

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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.