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Finding the Fourth Proportional to 47,204.64, 70,813.44 and 13,927.14

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Solution

The fourth proportional to 47,204.64, 70,813.44 and 13,927.14 is: 20,892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,204.64 : 70,813.44 = 13,927.14 : x
  2. Step 2: Convert to fraction form
    47,204.64/70,813.44 = 13,927.14/x
  3. Step 3: Cross multiply
    47,204.64x = 70,813.44 × 13,927.14
  4. Step 4: Simplify right side
    47,204.64x = 986,228,692.76
  5. Step 5: Solve for x
    x = 986,228,692.76/47,204.64
  6. Step 6: Final answer
    x = 20,892.62

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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.