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Finding the Fourth Proportional to 34,190.40, 51,256.80 and 17,774.40

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Solution

The fourth proportional to 34,190.40, 51,256.80 and 17,774.40 is: 26,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,190.40 : 51,256.80 = 17,774.40 : x
  2. Step 2: Convert to fraction form
    34,190.40/51,256.80 = 17,774.40/x
  3. Step 3: Cross multiply
    34,190.40x = 51,256.80 × 17,774.40
  4. Step 4: Simplify right side
    34,190.40x = 911,058,865.92
  5. Step 5: Solve for x
    x = 911,058,865.92/34,190.40
  6. Step 6: Final answer
    x = 26,646.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.