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Finding the Fourth Proportional to 77,960.52, 116,958 and 36,384.84

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Solution

The fourth proportional to 77,960.52, 116,958 and 36,384.84 is: 54,585.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,960.52 : 116,958 = 36,384.84 : x
  2. Step 2: Convert to fraction form
    77,960.52/116,958 = 36,384.84/x
  3. Step 3: Cross multiply
    77,960.52x = 116,958 × 36,384.84
  4. Step 4: Simplify right side
    77,960.52x = 4,255,498,116.72
  5. Step 5: Solve for x
    x = 4,255,498,116.72/77,960.52
  6. Step 6: Final answer
    x = 54,585.30

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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.