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Finding the Fourth Proportional to 47,493, 71,239.50 and 19,791

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Solution

The fourth proportional to 47,493, 71,239.50 and 19,791 is: 29,686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,493 : 71,239.50 = 19,791 : x
  2. Step 2: Convert to fraction form
    47,493/71,239.50 = 19,791/x
  3. Step 3: Cross multiply
    47,493x = 71,239.50 × 19,791
  4. Step 4: Simplify right side
    47,493x = 1,409,900,944.50
  5. Step 5: Solve for x
    x = 1,409,900,944.50/47,493
  6. Step 6: Final answer
    x = 29,686.50

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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.