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Finding the Fourth Proportional to 82,783.72, 114,375.14 and 57,745

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Solution

The fourth proportional to 82,783.72, 114,375.14 and 57,745 is: 79,781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,783.72 : 114,375.14 = 57,745 : x
  2. Step 2: Convert to fraction form
    82,783.72/114,375.14 = 57,745/x
  3. Step 3: Cross multiply
    82,783.72x = 114,375.14 × 57,745
  4. Step 4: Simplify right side
    82,783.72x = 6,604,592,459.30
  5. Step 5: Solve for x
    x = 6,604,592,459.30/82,783.72
  6. Step 6: Final answer
    x = 79,781.30

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