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Finding the Fourth Proportional to 34,102.40, 51,153.60 and 17,456.90

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Solution

The fourth proportional to 34,102.40, 51,153.60 and 17,456.90 is: 26,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,102.40 : 51,153.60 = 17,456.90 : x
  2. Step 2: Convert to fraction form
    34,102.40/51,153.60 = 17,456.90/x
  3. Step 3: Cross multiply
    34,102.40x = 51,153.60 × 17,456.90
  4. Step 4: Simplify right side
    34,102.40x = 892,983,279.84
  5. Step 5: Solve for x
    x = 892,983,279.84/34,102.40
  6. Step 6: Final answer
    x = 26,185.35

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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.