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Finding the Fourth Proportional to 50,818, 70,131 and 29,593.84

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Solution

The fourth proportional to 50,818, 70,131 and 29,593.84 is: 40,840.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,818 : 70,131 = 29,593.84 : x
  2. Step 2: Convert to fraction form
    50,818/70,131 = 29,593.84/x
  3. Step 3: Cross multiply
    50,818x = 70,131 × 29,593.84
  4. Step 4: Simplify right side
    50,818x = 2,075,445,593.04
  5. Step 5: Solve for x
    x = 2,075,445,593.04/50,818
  6. Step 6: Final answer
    x = 40,840.76

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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.