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Finding the Fourth Proportional to 42,379.86, 63,578.02 and 16,103.10

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Solution

The fourth proportional to 42,379.86, 63,578.02 and 16,103.10 is: 24,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,379.86 : 63,578.02 = 16,103.10 : x
  2. Step 2: Convert to fraction form
    42,379.86/63,578.02 = 16,103.10/x
  3. Step 3: Cross multiply
    42,379.86x = 63,578.02 × 16,103.10
  4. Step 4: Simplify right side
    42,379.86x = 1,023,803,213.86
  5. Step 5: Solve for x
    x = 1,023,803,213.86/42,379.86
  6. Step 6: Final answer
    x = 24,157.78

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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.