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Finding the Fourth Proportional to 47,572.48, 65,644.32 and 27,436

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Solution

The fourth proportional to 47,572.48, 65,644.32 and 27,436 is: 37,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,572.48 : 65,644.32 = 27,436 : x
  2. Step 2: Convert to fraction form
    47,572.48/65,644.32 = 27,436/x
  3. Step 3: Cross multiply
    47,572.48x = 65,644.32 × 27,436
  4. Step 4: Simplify right side
    47,572.48x = 1,801,017,563.52
  5. Step 5: Solve for x
    x = 1,801,017,563.52/47,572.48
  6. Step 6: Final answer
    x = 37,858.39

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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.