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Finding the Fourth Proportional to 47,644.82, 65,728.29 and 29,744.24

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Solution

The fourth proportional to 47,644.82, 65,728.29 and 29,744.24 is: 41,033.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,644.82 : 65,728.29 = 29,744.24 : x
  2. Step 2: Convert to fraction form
    47,644.82/65,728.29 = 29,744.24/x
  3. Step 3: Cross multiply
    47,644.82x = 65,728.29 × 29,744.24
  4. Step 4: Simplify right side
    47,644.82x = 1,955,038,032.55
  5. Step 5: Solve for x
    x = 1,955,038,032.55/47,644.82
  6. Step 6: Final answer
    x = 41,033.59

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1.5x scale

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.