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Finding the Fourth Proportional to 42,474.42, 63,711.78 and 12,892.50

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Solution

The fourth proportional to 42,474.42, 63,711.78 and 12,892.50 is: 19,338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,474.42 : 63,711.78 = 12,892.50 : x
  2. Step 2: Convert to fraction form
    42,474.42/63,711.78 = 12,892.50/x
  3. Step 3: Cross multiply
    42,474.42x = 63,711.78 × 12,892.50
  4. Step 4: Simplify right side
    42,474.42x = 821,404,123.65
  5. Step 5: Solve for x
    x = 821,404,123.65/42,474.42
  6. Step 6: Final answer
    x = 19,338.80

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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.