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Finding the Fourth Proportional to 47,165, 70,747.98 and 14,333

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Solution

The fourth proportional to 47,165, 70,747.98 and 14,333 is: 21,499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,165 : 70,747.98 = 14,333 : x
  2. Step 2: Convert to fraction form
    47,165/70,747.98 = 14,333/x
  3. Step 3: Cross multiply
    47,165x = 70,747.98 × 14,333
  4. Step 4: Simplify right side
    47,165x = 1,014,030,797.34
  5. Step 5: Solve for x
    x = 1,014,030,797.34/47,165
  6. Step 6: Final answer
    x = 21,499.65

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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.