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Finding the Fourth Proportional to 82,168.84, 123,315.30 and 40,042.36

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Solution

The fourth proportional to 82,168.84, 123,315.30 and 40,042.36 is: 60,093.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,168.84 : 123,315.30 = 40,042.36 : x
  2. Step 2: Convert to fraction form
    82,168.84/123,315.30 = 40,042.36/x
  3. Step 3: Cross multiply
    82,168.84x = 123,315.30 × 40,042.36
  4. Step 4: Simplify right side
    82,168.84x = 4,937,835,636.11
  5. Step 5: Solve for x
    x = 4,937,835,636.11/82,168.84
  6. Step 6: Final answer
    x = 60,093.77

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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.