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Finding the Fourth Proportional to 76,951.34, 106,198.19 and 42,966.50

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Solution

The fourth proportional to 76,951.34, 106,198.19 and 42,966.50 is: 59,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,951.34 : 106,198.19 = 42,966.50 : x
  2. Step 2: Convert to fraction form
    76,951.34/106,198.19 = 42,966.50/x
  3. Step 3: Cross multiply
    76,951.34x = 106,198.19 × 42,966.50
  4. Step 4: Simplify right side
    76,951.34x = 4,562,964,530.64
  5. Step 5: Solve for x
    x = 4,562,964,530.64/76,951.34
  6. Step 6: Final answer
    x = 59,296.75

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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.