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Finding the Fourth Proportional to 42,205.01, 63,289.05 and 20,024.71

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Solution

The fourth proportional to 42,205.01, 63,289.05 and 20,024.71 is: 30,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,205.01 : 63,289.05 = 20,024.71 : x
  2. Step 2: Convert to fraction form
    42,205.01/63,289.05 = 20,024.71/x
  3. Step 3: Cross multiply
    42,205.01x = 63,289.05 × 20,024.71
  4. Step 4: Simplify right side
    42,205.01x = 1,267,344,872.43
  5. Step 5: Solve for x
    x = 1,267,344,872.43/42,205.01
  6. Step 6: Final answer
    x = 30,028.30

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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.