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Finding the Fourth Proportional to 47,086.56, 70,629.84 and 15,921

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Solution

The fourth proportional to 47,086.56, 70,629.84 and 15,921 is: 23,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,086.56 : 70,629.84 = 15,921 : x
  2. Step 2: Convert to fraction form
    47,086.56/70,629.84 = 15,921/x
  3. Step 3: Cross multiply
    47,086.56x = 70,629.84 × 15,921
  4. Step 4: Simplify right side
    47,086.56x = 1,124,497,682.64
  5. Step 5: Solve for x
    x = 1,124,497,682.64/47,086.56
  6. Step 6: Final answer
    x = 23,881.50

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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.