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Finding the Fourth Proportional to 82,782.45, 114,234.17 and 45,055.89

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Solution

The fourth proportional to 82,782.45, 114,234.17 and 45,055.89 is: 62,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,782.45 : 114,234.17 = 45,055.89 : x
  2. Step 2: Convert to fraction form
    82,782.45/114,234.17 = 45,055.89/x
  3. Step 3: Cross multiply
    82,782.45x = 114,234.17 × 45,055.89
  4. Step 4: Simplify right side
    82,782.45x = 5,146,921,972.48
  5. Step 5: Solve for x
    x = 5,146,921,972.48/82,782.45
  6. Step 6: Final answer
    x = 62,174.07

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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.