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Finding the Fourth Proportional to 82,377.34, 123,492.03 and 40,233.58

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Solution

The fourth proportional to 82,377.34, 123,492.03 and 40,233.58 is: 60,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,377.34 : 123,492.03 = 40,233.58 : x
  2. Step 2: Convert to fraction form
    82,377.34/123,492.03 = 40,233.58/x
  3. Step 3: Cross multiply
    82,377.34x = 123,492.03 × 40,233.58
  4. Step 4: Simplify right side
    82,377.34x = 4,968,526,468.37
  5. Step 5: Solve for x
    x = 4,968,526,468.37/82,377.34
  6. Step 6: Final answer
    x = 60,314.24

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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.