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Finding the Fourth Proportional to 42,205.83, 63,339.84 and 20,019.27

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Solution

The fourth proportional to 42,205.83, 63,339.84 and 20,019.27 is: 30,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,205.83 : 63,339.84 = 20,019.27 : x
  2. Step 2: Convert to fraction form
    42,205.83/63,339.84 = 20,019.27/x
  3. Step 3: Cross multiply
    42,205.83x = 63,339.84 × 20,019.27
  4. Step 4: Simplify right side
    42,205.83x = 1,268,017,358.72
  5. Step 5: Solve for x
    x = 1,268,017,358.72/42,205.83
  6. Step 6: Final answer
    x = 30,043.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.