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Finding the Fourth Proportional to 73,205.20, 109,807.80 and 28,807.84

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Solution

The fourth proportional to 73,205.20, 109,807.80 and 28,807.84 is: 43,211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,205.20 : 109,807.80 = 28,807.84 : x
  2. Step 2: Convert to fraction form
    73,205.20/109,807.80 = 28,807.84/x
  3. Step 3: Cross multiply
    73,205.20x = 109,807.80 × 28,807.84
  4. Step 4: Simplify right side
    73,205.20x = 3,163,325,533.15
  5. Step 5: Solve for x
    x = 3,163,325,533.15/73,205.20
  6. Step 6: Final answer
    x = 43,211.76

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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.