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Finding the Fourth Proportional to 75,386, 113,079 and 22,794.32

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Solution

The fourth proportional to 75,386, 113,079 and 22,794.32 is: 34,191.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,386 : 113,079 = 22,794.32 : x
  2. Step 2: Convert to fraction form
    75,386/113,079 = 22,794.32/x
  3. Step 3: Cross multiply
    75,386x = 113,079 × 22,794.32
  4. Step 4: Simplify right side
    75,386x = 2,577,558,911.28
  5. Step 5: Solve for x
    x = 2,577,558,911.28/75,386
  6. Step 6: Final answer
    x = 34,191.48

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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.