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Finding the Fourth Proportional to 47,743.74, 71,615.64 and 18,154.74

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Solution

The fourth proportional to 47,743.74, 71,615.64 and 18,154.74 is: 27,232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,743.74 : 71,615.64 = 18,154.74 : x
  2. Step 2: Convert to fraction form
    47,743.74/71,615.64 = 18,154.74/x
  3. Step 3: Cross multiply
    47,743.74x = 71,615.64 × 18,154.74
  4. Step 4: Simplify right side
    47,743.74x = 1,300,163,324.13
  5. Step 5: Solve for x
    x = 1,300,163,324.13/47,743.74
  6. Step 6: Final answer
    x = 27,232.12

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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.