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Finding the Fourth Proportional to 82,784.28, 114,242.22 and 45,058.44

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Solution

The fourth proportional to 82,784.28, 114,242.22 and 45,058.44 is: 62,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,784.28 : 114,242.22 = 45,058.44 : x
  2. Step 2: Convert to fraction form
    82,784.28/114,242.22 = 45,058.44/x
  3. Step 3: Cross multiply
    82,784.28x = 114,242.22 × 45,058.44
  4. Step 4: Simplify right side
    82,784.28x = 5,147,576,215.34
  5. Step 5: Solve for x
    x = 5,147,576,215.34/82,784.28
  6. Step 6: Final answer
    x = 62,180.60

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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.