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Finding the Fourth Proportional to 76,952, 106,200.24 and 43,424.48

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Solution

The fourth proportional to 76,952, 106,200.24 and 43,424.48 is: 59,929.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,952 : 106,200.24 = 43,424.48 : x
  2. Step 2: Convert to fraction form
    76,952/106,200.24 = 43,424.48/x
  3. Step 3: Cross multiply
    76,952x = 106,200.24 × 43,424.48
  4. Step 4: Simplify right side
    76,952x = 4,611,690,197.88
  5. Step 5: Solve for x
    x = 4,611,690,197.88/76,952
  6. Step 6: Final answer
    x = 59,929.44

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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.