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Finding the Fourth Proportional to 48,796.68, 73,193.40 and 20,698.68

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Solution

The fourth proportional to 48,796.68, 73,193.40 and 20,698.68 is: 31,047.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,796.68 : 73,193.40 = 20,698.68 : x
  2. Step 2: Convert to fraction form
    48,796.68/73,193.40 = 20,698.68/x
  3. Step 3: Cross multiply
    48,796.68x = 73,193.40 × 20,698.68
  4. Step 4: Simplify right side
    48,796.68x = 1,515,006,764.71
  5. Step 5: Solve for x
    x = 1,515,006,764.71/48,796.68
  6. Step 6: Final answer
    x = 31,047.33

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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.