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Finding the Fourth Proportional to 38,496.50, 53,125.17 and 20,832.50

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Solution

The fourth proportional to 38,496.50, 53,125.17 and 20,832.50 is: 28,748.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,496.50 : 53,125.17 = 20,832.50 : x
  2. Step 2: Convert to fraction form
    38,496.50/53,125.17 = 20,832.50/x
  3. Step 3: Cross multiply
    38,496.50x = 53,125.17 × 20,832.50
  4. Step 4: Simplify right side
    38,496.50x = 1,106,730,104.03
  5. Step 5: Solve for x
    x = 1,106,730,104.03/38,496.50
  6. Step 6: Final answer
    x = 28,748.85

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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.