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Finding the Fourth Proportional to 38,036.46, 57,106.44 and 21,408.24

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Solution

The fourth proportional to 38,036.46, 57,106.44 and 21,408.24 is: 32,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,036.46 : 57,106.44 = 21,408.24 : x
  2. Step 2: Convert to fraction form
    38,036.46/57,106.44 = 21,408.24/x
  3. Step 3: Cross multiply
    38,036.46x = 57,106.44 × 21,408.24
  4. Step 4: Simplify right side
    38,036.46x = 1,222,548,373.07
  5. Step 5: Solve for x
    x = 1,222,548,373.07/38,036.46
  6. Step 6: Final answer
    x = 32,141.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.