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Finding the Fourth Proportional to 46,546.80, 69,504.90 and 36,574.16

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Solution

The fourth proportional to 46,546.80, 69,504.90 and 36,574.16 is: 54,613.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,546.80 : 69,504.90 = 36,574.16 : x
  2. Step 2: Convert to fraction form
    46,546.80/69,504.90 = 36,574.16/x
  3. Step 3: Cross multiply
    46,546.80x = 69,504.90 × 36,574.16
  4. Step 4: Simplify right side
    46,546.80x = 2,542,083,333.38
  5. Step 5: Solve for x
    x = 2,542,083,333.38/46,546.80
  6. Step 6: Final answer
    x = 54,613.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.