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Finding the Fourth Proportional to 82,814.54, 124,061.42 and 49,560.80

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Solution

The fourth proportional to 82,814.54, 124,061.42 and 49,560.80 is: 74,245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,814.54 : 124,061.42 = 49,560.80 : x
  2. Step 2: Convert to fraction form
    82,814.54/124,061.42 = 49,560.80/x
  3. Step 3: Cross multiply
    82,814.54x = 124,061.42 × 49,560.80
  4. Step 4: Simplify right side
    82,814.54x = 6,148,582,727.93
  5. Step 5: Solve for x
    x = 6,148,582,727.93/82,814.54
  6. Step 6: Final answer
    x = 74,245.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.