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Finding the Fourth Proportional to 47,460.82, 65,493.84 and 25,950

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Solution

The fourth proportional to 47,460.82, 65,493.84 and 25,950 is: 35,809.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,460.82 : 65,493.84 = 25,950 : x
  2. Step 2: Convert to fraction form
    47,460.82/65,493.84 = 25,950/x
  3. Step 3: Cross multiply
    47,460.82x = 65,493.84 × 25,950
  4. Step 4: Simplify right side
    47,460.82x = 1,699,565,148
  5. Step 5: Solve for x
    x = 1,699,565,148/47,460.82
  6. Step 6: Final answer
    x = 35,809.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.