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Finding the Fourth Proportional to 49,696.78, 74,548.58 and 16,440.25

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Solution

The fourth proportional to 49,696.78, 74,548.58 and 16,440.25 is: 24,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,696.78 : 74,548.58 = 16,440.25 : x
  2. Step 2: Convert to fraction form
    49,696.78/74,548.58 = 16,440.25/x
  3. Step 3: Cross multiply
    49,696.78x = 74,548.58 × 16,440.25
  4. Step 4: Simplify right side
    49,696.78x = 1,225,597,292.35
  5. Step 5: Solve for x
    x = 1,225,597,292.35/49,696.78
  6. Step 6: Final answer
    x = 24,661.50

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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.