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Finding the Fourth Proportional to 77,046.60, 115,764.30 and 48,980.10

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Solution

The fourth proportional to 77,046.60, 115,764.30 and 48,980.10 is: 73,593.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,046.60 : 115,764.30 = 48,980.10 : x
  2. Step 2: Convert to fraction form
    77,046.60/115,764.30 = 48,980.10/x
  3. Step 3: Cross multiply
    77,046.60x = 115,764.30 × 48,980.10
  4. Step 4: Simplify right side
    77,046.60x = 5,670,146,990.43
  5. Step 5: Solve for x
    x = 5,670,146,990.43/77,046.60
  6. Step 6: Final answer
    x = 73,593.73

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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.