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Finding the Fourth Proportional to 52,037.55, 71,811.74 and 28,164.21

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Solution

The fourth proportional to 52,037.55, 71,811.74 and 28,164.21 is: 38,866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,037.55 : 71,811.74 = 28,164.21 : x
  2. Step 2: Convert to fraction form
    52,037.55/71,811.74 = 28,164.21/x
  3. Step 3: Cross multiply
    52,037.55x = 71,811.74 × 28,164.21
  4. Step 4: Simplify right side
    52,037.55x = 2,022,520,785.00
  5. Step 5: Solve for x
    x = 2,022,520,785.00/52,037.55
  6. Step 6: Final answer
    x = 38,866.56

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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.