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Finding the Fourth Proportional to 77,309.70, 115,909.20 and 29,884.20

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Solution

The fourth proportional to 77,309.70, 115,909.20 and 29,884.20 is: 44,804.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,309.70 : 115,909.20 = 29,884.20 : x
  2. Step 2: Convert to fraction form
    77,309.70/115,909.20 = 29,884.20/x
  3. Step 3: Cross multiply
    77,309.70x = 115,909.20 × 29,884.20
  4. Step 4: Simplify right side
    77,309.70x = 3,463,853,714.64
  5. Step 5: Solve for x
    x = 3,463,853,714.64/77,309.70
  6. Step 6: Final answer
    x = 44,804.90

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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.