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Finding the Fourth Proportional to 83,574.77, 125,362.43 and 21,245.27

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Solution

The fourth proportional to 83,574.77, 125,362.43 and 21,245.27 is: 31,867.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,574.77 : 125,362.43 = 21,245.27 : x
  2. Step 2: Convert to fraction form
    83,574.77/125,362.43 = 21,245.27/x
  3. Step 3: Cross multiply
    83,574.77x = 125,362.43 × 21,245.27
  4. Step 4: Simplify right side
    83,574.77x = 2,663,358,673.21
  5. Step 5: Solve for x
    x = 2,663,358,673.21/83,574.77
  6. Step 6: Final answer
    x = 31,867.97

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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.