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Finding the Fourth Proportional to 49,286.40, 73,929.60 and 16,454.40

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Solution

The fourth proportional to 49,286.40, 73,929.60 and 16,454.40 is: 24,681.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,286.40 : 73,929.60 = 16,454.40 : x
  2. Step 2: Convert to fraction form
    49,286.40/73,929.60 = 16,454.40/x
  3. Step 3: Cross multiply
    49,286.40x = 73,929.60 × 16,454.40
  4. Step 4: Simplify right side
    49,286.40x = 1,216,467,210.24
  5. Step 5: Solve for x
    x = 1,216,467,210.24/49,286.40
  6. Step 6: Final answer
    x = 24,681.60

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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.