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Finding the Fourth Proportional to 76,952, 106,194.08 and 41,624

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Solution

The fourth proportional to 76,952, 106,194.08 and 41,624 is: 57,441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,952 : 106,194.08 = 41,624 : x
  2. Step 2: Convert to fraction form
    76,952/106,194.08 = 41,624/x
  3. Step 3: Cross multiply
    76,952x = 106,194.08 × 41,624
  4. Step 4: Simplify right side
    76,952x = 4,420,222,385.92
  5. Step 5: Solve for x
    x = 4,420,222,385.92/76,952
  6. Step 6: Final answer
    x = 57,441.29

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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.