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Finding the Fourth Proportional to 54,969.32, 82,465.16 and 23,379.32

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Solution

The fourth proportional to 54,969.32, 82,465.16 and 23,379.32 is: 35,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,969.32 : 82,465.16 = 23,379.32 : x
  2. Step 2: Convert to fraction form
    54,969.32/82,465.16 = 23,379.32/x
  3. Step 3: Cross multiply
    54,969.32x = 82,465.16 × 23,379.32
  4. Step 4: Simplify right side
    54,969.32x = 1,927,979,364.49
  5. Step 5: Solve for x
    x = 1,927,979,364.49/54,969.32
  6. Step 6: Final answer
    x = 35,073.74

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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.