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Finding the Fourth Proportional to 72,431, 108,583.71 and 28,027.20

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Solution

The fourth proportional to 72,431, 108,583.71 and 28,027.20 is: 42,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,431 : 108,583.71 = 28,027.20 : x
  2. Step 2: Convert to fraction form
    72,431/108,583.71 = 28,027.20/x
  3. Step 3: Cross multiply
    72,431x = 108,583.71 × 28,027.20
  4. Step 4: Simplify right side
    72,431x = 3,043,297,356.91
  5. Step 5: Solve for x
    x = 3,043,297,356.91/72,431
  6. Step 6: Final answer
    x = 42,016.50

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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.