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Finding the Fourth Proportional to 34,706.64, 52,069.80 and 13,944.72

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Solution

The fourth proportional to 34,706.64, 52,069.80 and 13,944.72 is: 20,921.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,706.64 : 52,069.80 = 13,944.72 : x
  2. Step 2: Convert to fraction form
    34,706.64/52,069.80 = 13,944.72/x
  3. Step 3: Cross multiply
    34,706.64x = 52,069.80 × 13,944.72
  4. Step 4: Simplify right side
    34,706.64x = 726,098,781.46
  5. Step 5: Solve for x
    x = 726,098,781.46/34,706.64
  6. Step 6: Final answer
    x = 20,921.03

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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.