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Finding the Fourth Proportional to 54,743.86, 82,061.11 and 47,216.93

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Solution

The fourth proportional to 54,743.86, 82,061.11 and 47,216.93 is: 70,778.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,743.86 : 82,061.11 = 47,216.93 : x
  2. Step 2: Convert to fraction form
    54,743.86/82,061.11 = 47,216.93/x
  3. Step 3: Cross multiply
    54,743.86x = 82,061.11 × 47,216.93
  4. Step 4: Simplify right side
    54,743.86x = 3,874,673,568.55
  5. Step 5: Solve for x
    x = 3,874,673,568.55/54,743.86
  6. Step 6: Final answer
    x = 70,778.24

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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.