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Finding the Fourth Proportional to 47,197.63, 70,796.63 and 19,118.21

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Solution

The fourth proportional to 47,197.63, 70,796.63 and 19,118.21 is: 28,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,197.63 : 70,796.63 = 19,118.21 : x
  2. Step 2: Convert to fraction form
    47,197.63/70,796.63 = 19,118.21/x
  3. Step 3: Cross multiply
    47,197.63x = 70,796.63 × 19,118.21
  4. Step 4: Simplify right side
    47,197.63x = 1,353,504,931.68
  5. Step 5: Solve for x
    x = 1,353,504,931.68/47,197.63
  6. Step 6: Final answer
    x = 28,677.39

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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.