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Finding the Fourth Proportional to 42,440.12, 63,645.12 and 12,446

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Solution

The fourth proportional to 42,440.12, 63,645.12 and 12,446 is: 18,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,440.12 : 63,645.12 = 12,446 : x
  2. Step 2: Convert to fraction form
    42,440.12/63,645.12 = 12,446/x
  3. Step 3: Cross multiply
    42,440.12x = 63,645.12 × 12,446
  4. Step 4: Simplify right side
    42,440.12x = 792,127,163.52
  5. Step 5: Solve for x
    x = 792,127,163.52/42,440.12
  6. Step 6: Final answer
    x = 18,664.58

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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.