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Finding the Fourth Proportional to 34,154, 47,133.24 and 19,250

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Solution

The fourth proportional to 34,154, 47,133.24 and 19,250 is: 26,565.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,154 : 47,133.24 = 19,250 : x
  2. Step 2: Convert to fraction form
    34,154/47,133.24 = 19,250/x
  3. Step 3: Cross multiply
    34,154x = 47,133.24 × 19,250
  4. Step 4: Simplify right side
    34,154x = 907,314,870
  5. Step 5: Solve for x
    x = 907,314,870/34,154
  6. Step 6: Final answer
    x = 26,565.41

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