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Finding the Fourth Proportional to 34,416.56, 51,627.64 and 13,374

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Solution

The fourth proportional to 34,416.56, 51,627.64 and 13,374 is: 20,062.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,416.56 : 51,627.64 = 13,374 : x
  2. Step 2: Convert to fraction form
    34,416.56/51,627.64 = 13,374/x
  3. Step 3: Cross multiply
    34,416.56x = 51,627.64 × 13,374
  4. Step 4: Simplify right side
    34,416.56x = 690,468,057.36
  5. Step 5: Solve for x
    x = 690,468,057.36/34,416.56
  6. Step 6: Final answer
    x = 20,062.09

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Why These Related Problems?

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