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Finding the Fourth Proportional to 50,817, 70,129.62 and 29,592.84

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Solution

The fourth proportional to 50,817, 70,129.62 and 29,592.84 is: 40,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,817 : 70,129.62 = 29,592.84 : x
  2. Step 2: Convert to fraction form
    50,817/70,129.62 = 29,592.84/x
  3. Step 3: Cross multiply
    50,817x = 70,129.62 × 29,592.84
  4. Step 4: Simplify right side
    50,817x = 2,075,334,623.92
  5. Step 5: Solve for x
    x = 2,075,334,623.92/50,817
  6. Step 6: Final answer
    x = 40,839.38

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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.