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Finding the Fourth Proportional to 46,339.78, 69,499.01 and 27,625.10

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Solution

The fourth proportional to 46,339.78, 69,499.01 and 27,625.10 is: 41,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,339.78 : 69,499.01 = 27,625.10 : x
  2. Step 2: Convert to fraction form
    46,339.78/69,499.01 = 27,625.10/x
  3. Step 3: Cross multiply
    46,339.78x = 69,499.01 × 27,625.10
  4. Step 4: Simplify right side
    46,339.78x = 1,919,917,101.15
  5. Step 5: Solve for x
    x = 1,919,917,101.15/46,339.78
  6. Step 6: Final answer
    x = 41,431.30

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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.