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Finding the Fourth Proportional to 52,078.64, 71,868.50 and 28,205.31

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Solution

The fourth proportional to 52,078.64, 71,868.50 and 28,205.31 is: 38,923.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,078.64 : 71,868.50 = 28,205.31 : x
  2. Step 2: Convert to fraction form
    52,078.64/71,868.50 = 28,205.31/x
  3. Step 3: Cross multiply
    52,078.64x = 71,868.50 × 28,205.31
  4. Step 4: Simplify right side
    52,078.64x = 2,027,073,180.71
  5. Step 5: Solve for x
    x = 2,027,073,180.71/52,078.64
  6. Step 6: Final answer
    x = 38,923.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.