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Finding the Fourth Proportional to 48,338.81, 72,422.38 and 20,196.91

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Solution

The fourth proportional to 48,338.81, 72,422.38 and 20,196.91 is: 30,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,338.81 : 72,422.38 = 20,196.91 : x
  2. Step 2: Convert to fraction form
    48,338.81/72,422.38 = 20,196.91/x
  3. Step 3: Cross multiply
    48,338.81x = 72,422.38 × 20,196.91
  4. Step 4: Simplify right side
    48,338.81x = 1,462,708,059.30
  5. Step 5: Solve for x
    x = 1,462,708,059.30/48,338.81
  6. Step 6: Final answer
    x = 30,259.50

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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.