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Finding the Fourth Proportional to 47,207.88, 70,794 and 13,918.50

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Solution

The fourth proportional to 47,207.88, 70,794 and 13,918.50 is: 20,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,207.88 : 70,794 = 13,918.50 : x
  2. Step 2: Convert to fraction form
    47,207.88/70,794 = 13,918.50/x
  3. Step 3: Cross multiply
    47,207.88x = 70,794 × 13,918.50
  4. Step 4: Simplify right side
    47,207.88x = 985,346,289
  5. Step 5: Solve for x
    x = 985,346,289/47,207.88
  6. Step 6: Final answer
    x = 20,872.50

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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.