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Finding the Fourth Proportional to 82,094.84, 123,092.94 and 32,115.32

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Solution

The fourth proportional to 82,094.84, 123,092.94 and 32,115.32 is: 48,153.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,094.84 : 123,092.94 = 32,115.32 : x
  2. Step 2: Convert to fraction form
    82,094.84/123,092.94 = 32,115.32/x
  3. Step 3: Cross multiply
    82,094.84x = 123,092.94 × 32,115.32
  4. Step 4: Simplify right side
    82,094.84x = 3,953,169,157.84
  5. Step 5: Solve for x
    x = 3,953,169,157.84/82,094.84
  6. Step 6: Final answer
    x = 48,153.69

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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.