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Finding the Fourth Proportional to 82,893.68, 114,359.04 and 57,757.76

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Solution

The fourth proportional to 82,893.68, 114,359.04 and 57,757.76 is: 79,681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,893.68 : 114,359.04 = 57,757.76 : x
  2. Step 2: Convert to fraction form
    82,893.68/114,359.04 = 57,757.76/x
  3. Step 3: Cross multiply
    82,893.68x = 114,359.04 × 57,757.76
  4. Step 4: Simplify right side
    82,893.68x = 6,605,121,986.15
  5. Step 5: Solve for x
    x = 6,605,121,986.15/82,893.68
  6. Step 6: Final answer
    x = 79,681.85

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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.