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Finding the Fourth Proportional to 77,080.96, 115,619.64 and 35,527.96

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Solution

The fourth proportional to 77,080.96, 115,619.64 and 35,527.96 is: 53,291.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,080.96 : 115,619.64 = 35,527.96 : x
  2. Step 2: Convert to fraction form
    77,080.96/115,619.64 = 35,527.96/x
  3. Step 3: Cross multiply
    77,080.96x = 115,619.64 × 35,527.96
  4. Step 4: Simplify right side
    77,080.96x = 4,107,729,945.13
  5. Step 5: Solve for x
    x = 4,107,729,945.13/77,080.96
  6. Step 6: Final answer
    x = 53,291.11

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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.