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Finding the Fourth Proportional to 50,976.38, 70,332.84 and 30,818.63

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Solution

The fourth proportional to 50,976.38, 70,332.84 and 30,818.63 is: 42,520.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,976.38 : 70,332.84 = 30,818.63 : x
  2. Step 2: Convert to fraction form
    50,976.38/70,332.84 = 30,818.63/x
  3. Step 3: Cross multiply
    50,976.38x = 70,332.84 × 30,818.63
  4. Step 4: Simplify right side
    50,976.38x = 2,167,561,948.64
  5. Step 5: Solve for x
    x = 2,167,561,948.64/50,976.38
  6. Step 6: Final answer
    x = 42,520.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.