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Finding the Fourth Proportional to 76,946.43, 106,187.84 and 48,267.30

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Solution

The fourth proportional to 76,946.43, 106,187.84 and 48,267.30 is: 66,609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,946.43 : 106,187.84 = 48,267.30 : x
  2. Step 2: Convert to fraction form
    76,946.43/106,187.84 = 48,267.30/x
  3. Step 3: Cross multiply
    76,946.43x = 106,187.84 × 48,267.30
  4. Step 4: Simplify right side
    76,946.43x = 5,125,400,329.63
  5. Step 5: Solve for x
    x = 5,125,400,329.63/76,946.43
  6. Step 6: Final answer
    x = 66,609.98

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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.