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Finding the Fourth Proportional to 70,904.76, 106,375.62 and 26,535

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Solution

The fourth proportional to 70,904.76, 106,375.62 and 26,535 is: 39,809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,904.76 : 106,375.62 = 26,535 : x
  2. Step 2: Convert to fraction form
    70,904.76/106,375.62 = 26,535/x
  3. Step 3: Cross multiply
    70,904.76x = 106,375.62 × 26,535
  4. Step 4: Simplify right side
    70,904.76x = 2,822,677,076.70
  5. Step 5: Solve for x
    x = 2,822,677,076.70/70,904.76
  6. Step 6: Final answer
    x = 39,809.42

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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.