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Finding the Fourth Proportional to 38,467.40, 57,703.80 and 21,835.40

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Solution

The fourth proportional to 38,467.40, 57,703.80 and 21,835.40 is: 32,754.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,467.40 : 57,703.80 = 21,835.40 : x
  2. Step 2: Convert to fraction form
    38,467.40/57,703.80 = 21,835.40/x
  3. Step 3: Cross multiply
    38,467.40x = 57,703.80 × 21,835.40
  4. Step 4: Simplify right side
    38,467.40x = 1,259,985,554.52
  5. Step 5: Solve for x
    x = 1,259,985,554.52/38,467.40
  6. Step 6: Final answer
    x = 32,754.63

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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.