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Finding the Fourth Proportional to 64,578.52, 96,809.10 and 47,918.44

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Solution

The fourth proportional to 64,578.52, 96,809.10 and 47,918.44 is: 71,834.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,578.52 : 96,809.10 = 47,918.44 : x
  2. Step 2: Convert to fraction form
    64,578.52/96,809.10 = 47,918.44/x
  3. Step 3: Cross multiply
    64,578.52x = 96,809.10 × 47,918.44
  4. Step 4: Simplify right side
    64,578.52x = 4,638,941,049.80
  5. Step 5: Solve for x
    x = 4,638,941,049.80/64,578.52
  6. Step 6: Final answer
    x = 71,834.12

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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.