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Finding the Fourth Proportional to 55,125, 76,078.92 and 30,932.64

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Solution

The fourth proportional to 55,125, 76,078.92 and 30,932.64 is: 42,690.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,125 : 76,078.92 = 30,932.64 : x
  2. Step 2: Convert to fraction form
    55,125/76,078.92 = 30,932.64/x
  3. Step 3: Cross multiply
    55,125x = 76,078.92 × 30,932.64
  4. Step 4: Simplify right side
    55,125x = 2,353,321,843.95
  5. Step 5: Solve for x
    x = 2,353,321,843.95/55,125
  6. Step 6: Final answer
    x = 42,690.65

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