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Finding the Fourth Proportional to 49,578.50, 74,379.51 and 16,746.50

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Solution

The fourth proportional to 49,578.50, 74,379.51 and 16,746.50 is: 25,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,578.50 : 74,379.51 = 16,746.50 : x
  2. Step 2: Convert to fraction form
    49,578.50/74,379.51 = 16,746.50/x
  3. Step 3: Cross multiply
    49,578.50x = 74,379.51 × 16,746.50
  4. Step 4: Simplify right side
    49,578.50x = 1,245,596,464.22
  5. Step 5: Solve for x
    x = 1,245,596,464.22/49,578.50
  6. Step 6: Final answer
    x = 25,123.72

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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.