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Finding the Fourth Proportional to 117,114.24, 175,676.24 and 34,008.24

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Solution

The fourth proportional to 117,114.24, 175,676.24 and 34,008.24 is: 51,013.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,114.24 : 175,676.24 = 34,008.24 : x
  2. Step 2: Convert to fraction form
    117,114.24/175,676.24 = 34,008.24/x
  3. Step 3: Cross multiply
    117,114.24x = 175,676.24 × 34,008.24
  4. Step 4: Simplify right side
    117,114.24x = 5,974,439,732.22
  5. Step 5: Solve for x
    x = 5,974,439,732.22/117,114.24
  6. Step 6: Final answer
    x = 51,013.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.