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Finding the Fourth Proportional to 42,487.70, 63,674.14 and 16,178.09

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Solution

The fourth proportional to 42,487.70, 63,674.14 and 16,178.09 is: 24,245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,487.70 : 63,674.14 = 16,178.09 : x
  2. Step 2: Convert to fraction form
    42,487.70/63,674.14 = 16,178.09/x
  3. Step 3: Cross multiply
    42,487.70x = 63,674.14 × 16,178.09
  4. Step 4: Simplify right side
    42,487.70x = 1,030,126,027.32
  5. Step 5: Solve for x
    x = 1,030,126,027.32/42,487.70
  6. Step 6: Final answer
    x = 24,245.28

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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.