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Finding the Fourth Proportional to 47,537.28, 65,606.72 and 27,664

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Solution

The fourth proportional to 47,537.28, 65,606.72 and 27,664 is: 38,179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,537.28 : 65,606.72 = 27,664 : x
  2. Step 2: Convert to fraction form
    47,537.28/65,606.72 = 27,664/x
  3. Step 3: Cross multiply
    47,537.28x = 65,606.72 × 27,664
  4. Step 4: Simplify right side
    47,537.28x = 1,814,944,302.08
  5. Step 5: Solve for x
    x = 1,814,944,302.08/47,537.28
  6. Step 6: Final answer
    x = 38,179.39

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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.