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Finding the Fourth Proportional to 47,716.74, 65,911.11 and 36,316.98

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Solution

The fourth proportional to 47,716.74, 65,911.11 and 36,316.98 is: 50,164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,716.74 : 65,911.11 = 36,316.98 : x
  2. Step 2: Convert to fraction form
    47,716.74/65,911.11 = 36,316.98/x
  3. Step 3: Cross multiply
    47,716.74x = 65,911.11 × 36,316.98
  4. Step 4: Simplify right side
    47,716.74x = 2,393,692,463.65
  5. Step 5: Solve for x
    x = 2,393,692,463.65/47,716.74
  6. Step 6: Final answer
    x = 50,164.63

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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.