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Finding the Fourth Proportional to 62,234.85, 85,816.16 and 42,056.73

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Solution

The fourth proportional to 62,234.85, 85,816.16 and 42,056.73 is: 57,992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,234.85 : 85,816.16 = 42,056.73 : x
  2. Step 2: Convert to fraction form
    62,234.85/85,816.16 = 42,056.73/x
  3. Step 3: Cross multiply
    62,234.85x = 85,816.16 × 42,056.73
  4. Step 4: Simplify right side
    62,234.85x = 3,609,146,860.47
  5. Step 5: Solve for x
    x = 3,609,146,860.47/62,234.85
  6. Step 6: Final answer
    x = 57,992.38

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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.