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Finding the Fourth Proportional to 82,892.63, 114,388.74 and 50,681.21

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Solution

The fourth proportional to 82,892.63, 114,388.74 and 50,681.21 is: 69,938.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,892.63 : 114,388.74 = 50,681.21 : x
  2. Step 2: Convert to fraction form
    82,892.63/114,388.74 = 50,681.21/x
  3. Step 3: Cross multiply
    82,892.63x = 114,388.74 × 50,681.21
  4. Step 4: Simplify right side
    82,892.63x = 5,797,359,753.58
  5. Step 5: Solve for x
    x = 5,797,359,753.58/82,892.63
  6. Step 6: Final answer
    x = 69,938.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.