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Finding the Fourth Proportional to 70,508, 105,766.32 and 21,260

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Solution

The fourth proportional to 70,508, 105,766.32 and 21,260 is: 31,891.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,508 : 105,766.32 = 21,260 : x
  2. Step 2: Convert to fraction form
    70,508/105,766.32 = 21,260/x
  3. Step 3: Cross multiply
    70,508x = 105,766.32 × 21,260
  4. Step 4: Simplify right side
    70,508x = 2,248,591,963.20
  5. Step 5: Solve for x
    x = 2,248,591,963.20/70,508
  6. Step 6: Final answer
    x = 31,891.30

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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.