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Finding the Fourth Proportional to 42,096, 63,136.98 and 21,013.68

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Solution

The fourth proportional to 42,096, 63,136.98 and 21,013.68 is: 31,517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,096 : 63,136.98 = 21,013.68 : x
  2. Step 2: Convert to fraction form
    42,096/63,136.98 = 21,013.68/x
  3. Step 3: Cross multiply
    42,096x = 63,136.98 × 21,013.68
  4. Step 4: Simplify right side
    42,096x = 1,326,740,293.89
  5. Step 5: Solve for x
    x = 1,326,740,293.89/42,096
  6. Step 6: Final answer
    x = 31,517.02

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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.