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Finding the Fourth Proportional to 82,771.36, 114,225.06 and 45,046.42

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Solution

The fourth proportional to 82,771.36, 114,225.06 and 45,046.42 is: 62,164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,771.36 : 114,225.06 = 45,046.42 : x
  2. Step 2: Convert to fraction form
    82,771.36/114,225.06 = 45,046.42/x
  3. Step 3: Cross multiply
    82,771.36x = 114,225.06 × 45,046.42
  4. Step 4: Simplify right side
    82,771.36x = 5,145,430,027.29
  5. Step 5: Solve for x
    x = 5,145,430,027.29/82,771.36
  6. Step 6: Final answer
    x = 62,164.38

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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.