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Finding the Fourth Proportional to 42,645.54, 63,968.70 and 16,344

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Solution

The fourth proportional to 42,645.54, 63,968.70 and 16,344 is: 24,516.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,645.54 : 63,968.70 = 16,344 : x
  2. Step 2: Convert to fraction form
    42,645.54/63,968.70 = 16,344/x
  3. Step 3: Cross multiply
    42,645.54x = 63,968.70 × 16,344
  4. Step 4: Simplify right side
    42,645.54x = 1,045,504,432.80
  5. Step 5: Solve for x
    x = 1,045,504,432.80/42,645.54
  6. Step 6: Final answer
    x = 24,516.15

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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.