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Finding the Fourth Proportional to 42,441.37, 63,646.99 and 12,447.28

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Solution

The fourth proportional to 42,441.37, 63,646.99 and 12,447.28 is: 18,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,441.37 : 63,646.99 = 12,447.28 : x
  2. Step 2: Convert to fraction form
    42,441.37/63,646.99 = 12,447.28/x
  3. Step 3: Cross multiply
    42,441.37x = 63,646.99 × 12,447.28
  4. Step 4: Simplify right side
    42,441.37x = 792,231,905.69
  5. Step 5: Solve for x
    x = 792,231,905.69/42,441.37
  6. Step 6: Final answer
    x = 18,666.50

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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.