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Finding the Fourth Proportional to 70,784.56, 106,102.80 and 26,392

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Solution

The fourth proportional to 70,784.56, 106,102.80 and 26,392 is: 39,560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,784.56 : 106,102.80 = 26,392 : x
  2. Step 2: Convert to fraction form
    70,784.56/106,102.80 = 26,392/x
  3. Step 3: Cross multiply
    70,784.56x = 106,102.80 × 26,392
  4. Step 4: Simplify right side
    70,784.56x = 2,800,265,097.60
  5. Step 5: Solve for x
    x = 2,800,265,097.60/70,784.56
  6. Step 6: Final answer
    x = 39,560.39

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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.