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Finding the Fourth Proportional to 49,208.28, 73,824.78 and 14,148

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Solution

The fourth proportional to 49,208.28, 73,824.78 and 14,148 is: 21,225.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,208.28 : 73,824.78 = 14,148 : x
  2. Step 2: Convert to fraction form
    49,208.28/73,824.78 = 14,148/x
  3. Step 3: Cross multiply
    49,208.28x = 73,824.78 × 14,148
  4. Step 4: Simplify right side
    49,208.28x = 1,044,472,987.44
  5. Step 5: Solve for x
    x = 1,044,472,987.44/49,208.28
  6. Step 6: Final answer
    x = 21,225.55

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