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Finding the Fourth Proportional to 55,083, 76,014.54 and 29,932.50

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Solution

The fourth proportional to 55,083, 76,014.54 and 29,932.50 is: 41,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,083 : 76,014.54 = 29,932.50 : x
  2. Step 2: Convert to fraction form
    55,083/76,014.54 = 29,932.50/x
  3. Step 3: Cross multiply
    55,083x = 76,014.54 × 29,932.50
  4. Step 4: Simplify right side
    55,083x = 2,275,305,218.55
  5. Step 5: Solve for x
    x = 2,275,305,218.55/55,083
  6. Step 6: Final answer
    x = 41,306.85

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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.