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Finding the Fourth Proportional to 55,562.52, 76,676.24 and 30,412

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Solution

The fourth proportional to 55,562.52, 76,676.24 and 30,412 is: 41,968.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,562.52 : 76,676.24 = 30,412 : x
  2. Step 2: Convert to fraction form
    55,562.52/76,676.24 = 30,412/x
  3. Step 3: Cross multiply
    55,562.52x = 76,676.24 × 30,412
  4. Step 4: Simplify right side
    55,562.52x = 2,331,877,810.88
  5. Step 5: Solve for x
    x = 2,331,877,810.88/55,562.52
  6. Step 6: Final answer
    x = 41,968.54

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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.