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Finding the Fourth Proportional to 77,849.80, 107,410.49 and 43,846.40

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Solution

The fourth proportional to 77,849.80, 107,410.49 and 43,846.40 is: 60,495.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,849.80 : 107,410.49 = 43,846.40 : x
  2. Step 2: Convert to fraction form
    77,849.80/107,410.49 = 43,846.40/x
  3. Step 3: Cross multiply
    77,849.80x = 107,410.49 × 43,846.40
  4. Step 4: Simplify right side
    77,849.80x = 4,709,563,308.74
  5. Step 5: Solve for x
    x = 4,709,563,308.74/77,849.80
  6. Step 6: Final answer
    x = 60,495.51

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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.