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Finding the Fourth Proportional to 34,400.50, 47,473.41 and 19,496.50

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Solution

The fourth proportional to 34,400.50, 47,473.41 and 19,496.50 is: 26,905.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,400.50 : 47,473.41 = 19,496.50 : x
  2. Step 2: Convert to fraction form
    34,400.50/47,473.41 = 19,496.50/x
  3. Step 3: Cross multiply
    34,400.50x = 47,473.41 × 19,496.50
  4. Step 4: Simplify right side
    34,400.50x = 925,565,338.07
  5. Step 5: Solve for x
    x = 925,565,338.07/34,400.50
  6. Step 6: Final answer
    x = 26,905.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.