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Finding the Fourth Proportional to 76,446.80, 114,670.20 and 37,080.80

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Solution

The fourth proportional to 76,446.80, 114,670.20 and 37,080.80 is: 55,621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,446.80 : 114,670.20 = 37,080.80 : x
  2. Step 2: Convert to fraction form
    76,446.80/114,670.20 = 37,080.80/x
  3. Step 3: Cross multiply
    76,446.80x = 114,670.20 × 37,080.80
  4. Step 4: Simplify right side
    76,446.80x = 4,252,062,752.16
  5. Step 5: Solve for x
    x = 4,252,062,752.16/76,446.80
  6. Step 6: Final answer
    x = 55,621.20

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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.