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Finding the Fourth Proportional to 49,448.80, 74,178.08 and 14,388.80

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Solution

The fourth proportional to 49,448.80, 74,178.08 and 14,388.80 is: 21,584.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,448.80 : 74,178.08 = 14,388.80 : x
  2. Step 2: Convert to fraction form
    49,448.80/74,178.08 = 14,388.80/x
  3. Step 3: Cross multiply
    49,448.80x = 74,178.08 × 14,388.80
  4. Step 4: Simplify right side
    49,448.80x = 1,067,333,557.50
  5. Step 5: Solve for x
    x = 1,067,333,557.50/49,448.80
  6. Step 6: Final answer
    x = 21,584.62

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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.