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Finding the Fourth Proportional to 34,771.04, 52,156.02 and 13,994

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Solution

The fourth proportional to 34,771.04, 52,156.02 and 13,994 is: 20,990.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,771.04 : 52,156.02 = 13,994 : x
  2. Step 2: Convert to fraction form
    34,771.04/52,156.02 = 13,994/x
  3. Step 3: Cross multiply
    34,771.04x = 52,156.02 × 13,994
  4. Step 4: Simplify right side
    34,771.04x = 729,871,343.88
  5. Step 5: Solve for x
    x = 729,871,343.88/34,771.04
  6. Step 6: Final answer
    x = 20,990.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.