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Finding the Fourth Proportional to 70,783.68, 106,065.33 and 26,398.50

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Solution

The fourth proportional to 70,783.68, 106,065.33 and 26,398.50 is: 39,556.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,783.68 : 106,065.33 = 26,398.50 : x
  2. Step 2: Convert to fraction form
    70,783.68/106,065.33 = 26,398.50/x
  3. Step 3: Cross multiply
    70,783.68x = 106,065.33 × 26,398.50
  4. Step 4: Simplify right side
    70,783.68x = 2,799,965,614.01
  5. Step 5: Solve for x
    x = 2,799,965,614.01/70,783.68
  6. Step 6: Final answer
    x = 39,556.66

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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.