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Finding the Fourth Proportional to 38,644.16, 53,352.48 and 36,261.44

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Solution

The fourth proportional to 38,644.16, 53,352.48 and 36,261.44 is: 50,062.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,644.16 : 53,352.48 = 36,261.44 : x
  2. Step 2: Convert to fraction form
    38,644.16/53,352.48 = 36,261.44/x
  3. Step 3: Cross multiply
    38,644.16x = 53,352.48 × 36,261.44
  4. Step 4: Simplify right side
    38,644.16x = 1,934,637,752.37
  5. Step 5: Solve for x
    x = 1,934,637,752.37/38,644.16
  6. Step 6: Final answer
    x = 50,062.88

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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.