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Finding the Fourth Proportional to 82,274.68, 123,416.80 and 23,114.96

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Solution

The fourth proportional to 82,274.68, 123,416.80 and 23,114.96 is: 34,673.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,274.68 : 123,416.80 = 23,114.96 : x
  2. Step 2: Convert to fraction form
    82,274.68/123,416.80 = 23,114.96/x
  3. Step 3: Cross multiply
    82,274.68x = 123,416.80 × 23,114.96
  4. Step 4: Simplify right side
    82,274.68x = 2,852,774,453.12
  5. Step 5: Solve for x
    x = 2,852,774,453.12/82,274.68
  6. Step 6: Final answer
    x = 34,673.78

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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.