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Finding the Fourth Proportional to 46,758.42, 64,511.48 and 27,638.78

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Solution

The fourth proportional to 46,758.42, 64,511.48 and 27,638.78 is: 38,132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,758.42 : 64,511.48 = 27,638.78 : x
  2. Step 2: Convert to fraction form
    46,758.42/64,511.48 = 27,638.78/x
  3. Step 3: Cross multiply
    46,758.42x = 64,511.48 × 27,638.78
  4. Step 4: Simplify right side
    46,758.42x = 1,783,018,142.44
  5. Step 5: Solve for x
    x = 1,783,018,142.44/46,758.42
  6. Step 6: Final answer
    x = 38,132.56

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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.