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Finding the Fourth Proportional to 49,509, 68,325.66 and 27,153

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Solution

The fourth proportional to 49,509, 68,325.66 and 27,153 is: 37,472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,509 : 68,325.66 = 27,153 : x
  2. Step 2: Convert to fraction form
    49,509/68,325.66 = 27,153/x
  3. Step 3: Cross multiply
    49,509x = 68,325.66 × 27,153
  4. Step 4: Simplify right side
    49,509x = 1,855,246,645.98
  5. Step 5: Solve for x
    x = 1,855,246,645.98/49,509
  6. Step 6: Final answer
    x = 37,472.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.