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Finding the Fourth Proportional to 49,447, 74,179.80 and 19,867.20

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Solution

The fourth proportional to 49,447, 74,179.80 and 19,867.20 is: 29,804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,447 : 74,179.80 = 19,867.20 : x
  2. Step 2: Convert to fraction form
    49,447/74,179.80 = 19,867.20/x
  3. Step 3: Cross multiply
    49,447x = 74,179.80 × 19,867.20
  4. Step 4: Simplify right side
    49,447x = 1,473,744,922.56
  5. Step 5: Solve for x
    x = 1,473,744,922.56/49,447
  6. Step 6: Final answer
    x = 29,804.54

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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.