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Finding the Fourth Proportional to 92,038.58, 138,072.48 and 29,694.50

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Solution

The fourth proportional to 92,038.58, 138,072.48 and 29,694.50 is: 44,546.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,038.58 : 138,072.48 = 29,694.50 : x
  2. Step 2: Convert to fraction form
    92,038.58/138,072.48 = 29,694.50/x
  3. Step 3: Cross multiply
    92,038.58x = 138,072.48 × 29,694.50
  4. Step 4: Simplify right side
    92,038.58x = 4,099,993,257.36
  5. Step 5: Solve for x
    x = 4,099,993,257.36/92,038.58
  6. Step 6: Final answer
    x = 44,546.46

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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.