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Finding the Fourth Proportional to 42,214, 63,321.06 and 14,512

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Solution

The fourth proportional to 42,214, 63,321.06 and 14,512 is: 21,768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,214 : 63,321.06 = 14,512 : x
  2. Step 2: Convert to fraction form
    42,214/63,321.06 = 14,512/x
  3. Step 3: Cross multiply
    42,214x = 63,321.06 × 14,512
  4. Step 4: Simplify right side
    42,214x = 918,915,222.72
  5. Step 5: Solve for x
    x = 918,915,222.72/42,214
  6. Step 6: Final answer
    x = 21,768.02

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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.