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Finding the Fourth Proportional to 34,296.84, 47,329.56 and 20,157.84

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Solution

The fourth proportional to 34,296.84, 47,329.56 and 20,157.84 is: 27,817.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,296.84 : 47,329.56 = 20,157.84 : x
  2. Step 2: Convert to fraction form
    34,296.84/47,329.56 = 20,157.84/x
  3. Step 3: Cross multiply
    34,296.84x = 47,329.56 × 20,157.84
  4. Step 4: Simplify right side
    34,296.84x = 954,061,697.75
  5. Step 5: Solve for x
    x = 954,061,697.75/34,296.84
  6. Step 6: Final answer
    x = 27,817.77

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1.5x scale

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.