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Finding the Fourth Proportional to 46,493.40, 69,912.90 and 38,890.20

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Solution

The fourth proportional to 46,493.40, 69,912.90 and 38,890.20 is: 58,479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,493.40 : 69,912.90 = 38,890.20 : x
  2. Step 2: Convert to fraction form
    46,493.40/69,912.90 = 38,890.20/x
  3. Step 3: Cross multiply
    46,493.40x = 69,912.90 × 38,890.20
  4. Step 4: Simplify right side
    46,493.40x = 2,718,926,663.58
  5. Step 5: Solve for x
    x = 2,718,926,663.58/46,493.40
  6. Step 6: Final answer
    x = 58,479.84

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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.