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Finding the Fourth Proportional to 64,645.39, 96,949.14 and 25,193.08

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Solution

The fourth proportional to 64,645.39, 96,949.14 and 25,193.08 is: 37,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,645.39 : 96,949.14 = 25,193.08 : x
  2. Step 2: Convert to fraction form
    64,645.39/96,949.14 = 25,193.08/x
  3. Step 3: Cross multiply
    64,645.39x = 96,949.14 × 25,193.08
  4. Step 4: Simplify right side
    64,645.39x = 2,442,447,439.95
  5. Step 5: Solve for x
    x = 2,442,447,439.95/64,645.39
  6. Step 6: Final answer
    x = 37,782.24

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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.