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Finding the Fourth Proportional to 69,477.52, 104,247.72 and 27,346

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Solution

The fourth proportional to 69,477.52, 104,247.72 and 27,346 is: 41,031.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,477.52 : 104,247.72 = 27,346 : x
  2. Step 2: Convert to fraction form
    69,477.52/104,247.72 = 27,346/x
  3. Step 3: Cross multiply
    69,477.52x = 104,247.72 × 27,346
  4. Step 4: Simplify right side
    69,477.52x = 2,850,758,151.12
  5. Step 5: Solve for x
    x = 2,850,758,151.12/69,477.52
  6. Step 6: Final answer
    x = 41,031.37

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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.