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Finding the Fourth Proportional to 49,810, 74,716.98 and 16,533.04

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Solution

The fourth proportional to 49,810, 74,716.98 and 16,533.04 is: 24,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,810 : 74,716.98 = 16,533.04 : x
  2. Step 2: Convert to fraction form
    49,810/74,716.98 = 16,533.04/x
  3. Step 3: Cross multiply
    49,810x = 74,716.98 × 16,533.04
  4. Step 4: Simplify right side
    49,810x = 1,235,298,819.02
  5. Step 5: Solve for x
    x = 1,235,298,819.02/49,810
  6. Step 6: Final answer
    x = 24,800.22

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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.