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Finding the Fourth Proportional to 47,134.56, 70,711.56 and 15,969

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Solution

The fourth proportional to 47,134.56, 70,711.56 and 15,969 is: 23,956.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,134.56 : 70,711.56 = 15,969 : x
  2. Step 2: Convert to fraction form
    47,134.56/70,711.56 = 15,969/x
  3. Step 3: Cross multiply
    47,134.56x = 70,711.56 × 15,969
  4. Step 4: Simplify right side
    47,134.56x = 1,129,192,901.64
  5. Step 5: Solve for x
    x = 1,129,192,901.64/47,134.56
  6. Step 6: Final answer
    x = 23,956.79

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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.