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Finding the Fourth Proportional to 64,542.16, 96,854.84 and 27,606.48

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Solution

The fourth proportional to 64,542.16, 96,854.84 and 27,606.48 is: 41,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,542.16 : 96,854.84 = 27,606.48 : x
  2. Step 2: Convert to fraction form
    64,542.16/96,854.84 = 27,606.48/x
  3. Step 3: Cross multiply
    64,542.16x = 96,854.84 × 27,606.48
  4. Step 4: Simplify right side
    64,542.16x = 2,673,821,203.36
  5. Step 5: Solve for x
    x = 2,673,821,203.36/64,542.16
  6. Step 6: Final answer
    x = 41,427.51

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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.