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Finding the Fourth Proportional to 76,861.60, 106,052.88 and 46,662.82

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Solution

The fourth proportional to 76,861.60, 106,052.88 and 46,662.82 is: 64,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,861.60 : 106,052.88 = 46,662.82 : x
  2. Step 2: Convert to fraction form
    76,861.60/106,052.88 = 46,662.82/x
  3. Step 3: Cross multiply
    76,861.60x = 106,052.88 × 46,662.82
  4. Step 4: Simplify right side
    76,861.60x = 4,948,726,449.92
  5. Step 5: Solve for x
    x = 4,948,726,449.92/76,861.60
  6. Step 6: Final answer
    x = 64,384.90

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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.