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Finding the Fourth Proportional to 30,961.58, 46,442.36 and 7,587.82

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Solution

The fourth proportional to 30,961.58, 46,442.36 and 7,587.82 is: 11,381.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,961.58 : 46,442.36 = 7,587.82 : x
  2. Step 2: Convert to fraction form
    30,961.58/46,442.36 = 7,587.82/x
  3. Step 3: Cross multiply
    30,961.58x = 46,442.36 × 7,587.82
  4. Step 4: Simplify right side
    30,961.58x = 352,396,268.06
  5. Step 5: Solve for x
    x = 352,396,268.06/30,961.58
  6. Step 6: Final answer
    x = 11,381.73

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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.