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Finding the Fourth Proportional to 34,915.50, 52,374.42 and 13,859.46

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Solution

The fourth proportional to 34,915.50, 52,374.42 and 13,859.46 is: 20,789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,915.50 : 52,374.42 = 13,859.46 : x
  2. Step 2: Convert to fraction form
    34,915.50/52,374.42 = 13,859.46/x
  3. Step 3: Cross multiply
    34,915.50x = 52,374.42 × 13,859.46
  4. Step 4: Simplify right side
    34,915.50x = 725,881,179.01
  5. Step 5: Solve for x
    x = 725,881,179.01/34,915.50
  6. Step 6: Final answer
    x = 20,789.65

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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.