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Finding the Fourth Proportional to 42,269.46, 63,404.73 and 20,085

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Solution

The fourth proportional to 42,269.46, 63,404.73 and 20,085 is: 30,127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,269.46 : 63,404.73 = 20,085 : x
  2. Step 2: Convert to fraction form
    42,269.46/63,404.73 = 20,085/x
  3. Step 3: Cross multiply
    42,269.46x = 63,404.73 × 20,085
  4. Step 4: Simplify right side
    42,269.46x = 1,273,484,002.05
  5. Step 5: Solve for x
    x = 1,273,484,002.05/42,269.46
  6. Step 6: Final answer
    x = 30,127.76

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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.