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Finding the Fourth Proportional to 77,408.86, 106,815.69 and 43,410.35

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Solution

The fourth proportional to 77,408.86, 106,815.69 and 43,410.35 is: 59,901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,408.86 : 106,815.69 = 43,410.35 : x
  2. Step 2: Convert to fraction form
    77,408.86/106,815.69 = 43,410.35/x
  3. Step 3: Cross multiply
    77,408.86x = 106,815.69 × 43,410.35
  4. Step 4: Simplify right side
    77,408.86x = 4,636,906,694.38
  5. Step 5: Solve for x
    x = 4,636,906,694.38/77,408.86
  6. Step 6: Final answer
    x = 59,901.50

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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.