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Finding the Fourth Proportional to 82,234.96, 113,502 and 53,590.48

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Solution

The fourth proportional to 82,234.96, 113,502 and 53,590.48 is: 73,966.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,234.96 : 113,502 = 53,590.48 : x
  2. Step 2: Convert to fraction form
    82,234.96/113,502 = 53,590.48/x
  3. Step 3: Cross multiply
    82,234.96x = 113,502 × 53,590.48
  4. Step 4: Simplify right side
    82,234.96x = 6,082,626,660.96
  5. Step 5: Solve for x
    x = 6,082,626,660.96/82,234.96
  6. Step 6: Final answer
    x = 73,966.43

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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.