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Finding the Fourth Proportional to 38,537.88, 57,806.84 and 10,835.88

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Solution

The fourth proportional to 38,537.88, 57,806.84 and 10,835.88 is: 16,253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,537.88 : 57,806.84 = 10,835.88 : x
  2. Step 2: Convert to fraction form
    38,537.88/57,806.84 = 10,835.88/x
  3. Step 3: Cross multiply
    38,537.88x = 57,806.84 × 10,835.88
  4. Step 4: Simplify right side
    38,537.88x = 626,387,638.21
  5. Step 5: Solve for x
    x = 626,387,638.21/38,537.88
  6. Step 6: Final answer
    x = 16,253.82

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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.