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Finding the Fourth Proportional to 82,782.36, 114,238.62 and 45,056.52

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Solution

The fourth proportional to 82,782.36, 114,238.62 and 45,056.52 is: 62,177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,782.36 : 114,238.62 = 45,056.52 : x
  2. Step 2: Convert to fraction form
    82,782.36/114,238.62 = 45,056.52/x
  3. Step 3: Cross multiply
    82,782.36x = 114,238.62 × 45,056.52
  4. Step 4: Simplify right side
    82,782.36x = 5,147,194,666.80
  5. Step 5: Solve for x
    x = 5,147,194,666.80/82,782.36
  6. Step 6: Final answer
    x = 62,177.43

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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.