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Finding the Fourth Proportional to 46,523.62, 64,202.79 and 27,660.34

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Solution

The fourth proportional to 46,523.62, 64,202.79 and 27,660.34 is: 38,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,523.62 : 64,202.79 = 27,660.34 : x
  2. Step 2: Convert to fraction form
    46,523.62/64,202.79 = 27,660.34/x
  3. Step 3: Cross multiply
    46,523.62x = 64,202.79 × 27,660.34
  4. Step 4: Simplify right side
    46,523.62x = 1,775,871,000.35
  5. Step 5: Solve for x
    x = 1,775,871,000.35/46,523.62
  6. Step 6: Final answer
    x = 38,171.38

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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.