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Finding the Fourth Proportional to 30,912.02, 42,658.71 and 16,765.10

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Solution

The fourth proportional to 30,912.02, 42,658.71 and 16,765.10 is: 23,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,912.02 : 42,658.71 = 16,765.10 : x
  2. Step 2: Convert to fraction form
    30,912.02/42,658.71 = 16,765.10/x
  3. Step 3: Cross multiply
    30,912.02x = 42,658.71 × 16,765.10
  4. Step 4: Simplify right side
    30,912.02x = 715,177,539.02
  5. Step 5: Solve for x
    x = 715,177,539.02/30,912.02
  6. Step 6: Final answer
    x = 23,135.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.