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Finding the Fourth Proportional to 50,796, 70,100.64 and 29,571.84

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Solution

The fourth proportional to 50,796, 70,100.64 and 29,571.84 is: 40,810.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,796 : 70,100.64 = 29,571.84 : x
  2. Step 2: Convert to fraction form
    50,796/70,100.64 = 29,571.84/x
  3. Step 3: Cross multiply
    50,796x = 70,100.64 × 29,571.84
  4. Step 4: Simplify right side
    50,796x = 2,073,004,909.98
  5. Step 5: Solve for x
    x = 2,073,004,909.98/50,796
  6. Step 6: Final answer
    x = 40,810.40

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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.