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Finding the Fourth Proportional to 47,817.11, 65,984.76 and 27,672.55

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Solution

The fourth proportional to 47,817.11, 65,984.76 and 27,672.55 is: 38,186.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,817.11 : 65,984.76 = 27,672.55 : x
  2. Step 2: Convert to fraction form
    47,817.11/65,984.76 = 27,672.55/x
  3. Step 3: Cross multiply
    47,817.11x = 65,984.76 × 27,672.55
  4. Step 4: Simplify right side
    47,817.11x = 1,825,966,405.38
  5. Step 5: Solve for x
    x = 1,825,966,405.38/47,817.11
  6. Step 6: Final answer
    x = 38,186.46

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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.