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Finding the Fourth Proportional to 70,754.86, 106,107.65 and 23,359.82

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Solution

The fourth proportional to 70,754.86, 106,107.65 and 23,359.82 is: 35,031.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,754.86 : 106,107.65 = 23,359.82 : x
  2. Step 2: Convert to fraction form
    70,754.86/106,107.65 = 23,359.82/x
  3. Step 3: Cross multiply
    70,754.86x = 106,107.65 × 23,359.82
  4. Step 4: Simplify right side
    70,754.86x = 2,478,655,604.62
  5. Step 5: Solve for x
    x = 2,478,655,604.62/70,754.86
  6. Step 6: Final answer
    x = 35,031.60

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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.