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Finding the Fourth Proportional to 82,582.16, 123,873.21 and 23,418.33

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Solution

The fourth proportional to 82,582.16, 123,873.21 and 23,418.33 is: 35,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,582.16 : 123,873.21 = 23,418.33 : x
  2. Step 2: Convert to fraction form
    82,582.16/123,873.21 = 23,418.33/x
  3. Step 3: Cross multiply
    82,582.16x = 123,873.21 × 23,418.33
  4. Step 4: Simplify right side
    82,582.16x = 2,900,903,709.94
  5. Step 5: Solve for x
    x = 2,900,903,709.94/82,582.16
  6. Step 6: Final answer
    x = 35,127.49

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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.