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Finding the Fourth Proportional to 47,112.84, 70,650.78 and 19,027.64

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Solution

The fourth proportional to 47,112.84, 70,650.78 and 19,027.64 is: 28,534.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,112.84 : 70,650.78 = 19,027.64 : x
  2. Step 2: Convert to fraction form
    47,112.84/70,650.78 = 19,027.64/x
  3. Step 3: Cross multiply
    47,112.84x = 70,650.78 × 19,027.64
  4. Step 4: Simplify right side
    47,112.84x = 1,344,317,607.56
  5. Step 5: Solve for x
    x = 1,344,317,607.56/47,112.84
  6. Step 6: Final answer
    x = 28,534.00

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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.