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Finding the Fourth Proportional to 42,105.76, 63,162.40 and 12,120.16

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Solution

The fourth proportional to 42,105.76, 63,162.40 and 12,120.16 is: 18,181.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,105.76 : 63,162.40 = 12,120.16 : x
  2. Step 2: Convert to fraction form
    42,105.76/63,162.40 = 12,120.16/x
  3. Step 3: Cross multiply
    42,105.76x = 63,162.40 × 12,120.16
  4. Step 4: Simplify right side
    42,105.76x = 765,538,393.98
  5. Step 5: Solve for x
    x = 765,538,393.98/42,105.76
  6. Step 6: Final answer
    x = 18,181.32

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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.