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Finding the Fourth Proportional to 49,144.32, 73,706.76 and 14,087.52

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Solution

The fourth proportional to 49,144.32, 73,706.76 and 14,087.52 is: 21,128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,144.32 : 73,706.76 = 14,087.52 : x
  2. Step 2: Convert to fraction form
    49,144.32/73,706.76 = 14,087.52/x
  3. Step 3: Cross multiply
    49,144.32x = 73,706.76 × 14,087.52
  4. Step 4: Simplify right side
    49,144.32x = 1,038,345,455.64
  5. Step 5: Solve for x
    x = 1,038,345,455.64/49,144.32
  6. Step 6: Final answer
    x = 21,128.49

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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.