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Finding the Fourth Proportional to 46,481.52, 64,153.82 and 27,615

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Solution

The fourth proportional to 46,481.52, 64,153.82 and 27,615 is: 38,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,481.52 : 64,153.82 = 27,615 : x
  2. Step 2: Convert to fraction form
    46,481.52/64,153.82 = 27,615/x
  3. Step 3: Cross multiply
    46,481.52x = 64,153.82 × 27,615
  4. Step 4: Simplify right side
    46,481.52x = 1,771,607,739.30
  5. Step 5: Solve for x
    x = 1,771,607,739.30/46,481.52
  6. Step 6: Final answer
    x = 38,114.24

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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.