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Finding the Fourth Proportional to 46,466.40, 69,872.40 and 38,863.20

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Solution

The fourth proportional to 46,466.40, 69,872.40 and 38,863.20 is: 58,439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,466.40 : 69,872.40 = 38,863.20 : x
  2. Step 2: Convert to fraction form
    46,466.40/69,872.40 = 38,863.20/x
  3. Step 3: Cross multiply
    46,466.40x = 69,872.40 × 38,863.20
  4. Step 4: Simplify right side
    46,466.40x = 2,715,465,055.68
  5. Step 5: Solve for x
    x = 2,715,465,055.68/46,466.40
  6. Step 6: Final answer
    x = 58,439.33

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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.