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Finding the Fourth Proportional to 42,281.92, 63,418.02 and 14,200.84

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Solution

The fourth proportional to 42,281.92, 63,418.02 and 14,200.84 is: 21,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,281.92 : 63,418.02 = 14,200.84 : x
  2. Step 2: Convert to fraction form
    42,281.92/63,418.02 = 14,200.84/x
  3. Step 3: Cross multiply
    42,281.92x = 63,418.02 × 14,200.84
  4. Step 4: Simplify right side
    42,281.92x = 900,589,155.14
  5. Step 5: Solve for x
    x = 900,589,155.14/42,281.92
  6. Step 6: Final answer
    x = 21,299.63

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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.