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Finding the Fourth Proportional to 42,178.14, 63,267.29 and 12,593.65

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Solution

The fourth proportional to 42,178.14, 63,267.29 and 12,593.65 is: 18,890.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,178.14 : 63,267.29 = 12,593.65 : x
  2. Step 2: Convert to fraction form
    42,178.14/63,267.29 = 12,593.65/x
  3. Step 3: Cross multiply
    42,178.14x = 63,267.29 × 12,593.65
  4. Step 4: Simplify right side
    42,178.14x = 796,765,885.57
  5. Step 5: Solve for x
    x = 796,765,885.57/42,178.14
  6. Step 6: Final answer
    x = 18,890.49

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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.