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Finding the Fourth Proportional to 48,829.28, 73,243.74 and 20,398.28

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Solution

The fourth proportional to 48,829.28, 73,243.74 and 20,398.28 is: 30,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,829.28 : 73,243.74 = 20,398.28 : x
  2. Step 2: Convert to fraction form
    48,829.28/73,243.74 = 20,398.28/x
  3. Step 3: Cross multiply
    48,829.28x = 73,243.74 × 20,398.28
  4. Step 4: Simplify right side
    48,829.28x = 1,494,046,316.77
  5. Step 5: Solve for x
    x = 1,494,046,316.77/48,829.28
  6. Step 6: Final answer
    x = 30,597.34

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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.