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Finding the Fourth Proportional to 42,651.97, 63,986.16 and 16,354.67

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Solution

The fourth proportional to 42,651.97, 63,986.16 and 16,354.67 is: 24,535.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,651.97 : 63,986.16 = 16,354.67 : x
  2. Step 2: Convert to fraction form
    42,651.97/63,986.16 = 16,354.67/x
  3. Step 3: Cross multiply
    42,651.97x = 63,986.16 × 16,354.67
  4. Step 4: Simplify right side
    42,651.97x = 1,046,472,531.37
  5. Step 5: Solve for x
    x = 1,046,472,531.37/42,651.97
  6. Step 6: Final answer
    x = 24,535.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.