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Finding the Fourth Proportional to 96,709, 145,141.50 and 49,975.24

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Solution

The fourth proportional to 96,709, 145,141.50 and 49,975.24 is: 75,003.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,709 : 145,141.50 = 49,975.24 : x
  2. Step 2: Convert to fraction form
    96,709/145,141.50 = 49,975.24/x
  3. Step 3: Cross multiply
    96,709x = 145,141.50 × 49,975.24
  4. Step 4: Simplify right side
    96,709x = 7,253,481,296.46
  5. Step 5: Solve for x
    x = 7,253,481,296.46/96,709
  6. Step 6: Final answer
    x = 75,003.17

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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.