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Finding the Fourth Proportional to 34,799.46, 48,022.38 and 20,652

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Solution

The fourth proportional to 34,799.46, 48,022.38 and 20,652 is: 28,499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,799.46 : 48,022.38 = 20,652 : x
  2. Step 2: Convert to fraction form
    34,799.46/48,022.38 = 20,652/x
  3. Step 3: Cross multiply
    34,799.46x = 48,022.38 × 20,652
  4. Step 4: Simplify right side
    34,799.46x = 991,758,191.76
  5. Step 5: Solve for x
    x = 991,758,191.76/34,799.46
  6. Step 6: Final answer
    x = 28,499.24

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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.