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Finding the Fourth Proportional to 42,459.80, 63,690.30 and 16,165.98

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Solution

The fourth proportional to 42,459.80, 63,690.30 and 16,165.98 is: 24,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,459.80 : 63,690.30 = 16,165.98 : x
  2. Step 2: Convert to fraction form
    42,459.80/63,690.30 = 16,165.98/x
  3. Step 3: Cross multiply
    42,459.80x = 63,690.30 × 16,165.98
  4. Step 4: Simplify right side
    42,459.80x = 1,029,616,115.99
  5. Step 5: Solve for x
    x = 1,029,616,115.99/42,459.80
  6. Step 6: Final answer
    x = 24,249.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.