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Finding the Fourth Proportional to 46,714.38, 64,467.40 and 25,494.80

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Solution

The fourth proportional to 46,714.38, 64,467.40 and 25,494.80 is: 35,183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,714.38 : 64,467.40 = 25,494.80 : x
  2. Step 2: Convert to fraction form
    46,714.38/64,467.40 = 25,494.80/x
  3. Step 3: Cross multiply
    46,714.38x = 64,467.40 × 25,494.80
  4. Step 4: Simplify right side
    46,714.38x = 1,643,583,469.52
  5. Step 5: Solve for x
    x = 1,643,583,469.52/46,714.38
  6. Step 6: Final answer
    x = 35,183.67

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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.