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Finding the Fourth Proportional to 38,429.75, 53,033.06 and 20,765.75

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Solution

The fourth proportional to 38,429.75, 53,033.06 and 20,765.75 is: 28,656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,429.75 : 53,033.06 = 20,765.75 : x
  2. Step 2: Convert to fraction form
    38,429.75/53,033.06 = 20,765.75/x
  3. Step 3: Cross multiply
    38,429.75x = 53,033.06 × 20,765.75
  4. Step 4: Simplify right side
    38,429.75x = 1,101,271,265.70
  5. Step 5: Solve for x
    x = 1,101,271,265.70/38,429.75
  6. Step 6: Final answer
    x = 28,656.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.