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Finding the Fourth Proportional to 82,376.34, 123,490.53 and 40,232.58

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Solution

The fourth proportional to 82,376.34, 123,490.53 and 40,232.58 is: 60,312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,376.34 : 123,490.53 = 40,232.58 : x
  2. Step 2: Convert to fraction form
    82,376.34/123,490.53 = 40,232.58/x
  3. Step 3: Cross multiply
    82,376.34x = 123,490.53 × 40,232.58
  4. Step 4: Simplify right side
    82,376.34x = 4,968,342,627.47
  5. Step 5: Solve for x
    x = 4,968,342,627.47/82,376.34
  6. Step 6: Final answer
    x = 60,312.74

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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.