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Finding the Fourth Proportional to 47,841.72, 65,975.76 and 36,491.04

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Solution

The fourth proportional to 47,841.72, 65,975.76 and 36,491.04 is: 50,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,841.72 : 65,975.76 = 36,491.04 : x
  2. Step 2: Convert to fraction form
    47,841.72/65,975.76 = 36,491.04/x
  3. Step 3: Cross multiply
    47,841.72x = 65,975.76 × 36,491.04
  4. Step 4: Simplify right side
    47,841.72x = 2,407,524,097.19
  5. Step 5: Solve for x
    x = 2,407,524,097.19/47,841.72
  6. Step 6: Final answer
    x = 50,322.69

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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.