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Finding the Fourth Proportional to 77,249.52, 106,596 and 48,562.56

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Solution

The fourth proportional to 77,249.52, 106,596 and 48,562.56 is: 67,011.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,249.52 : 106,596 = 48,562.56 : x
  2. Step 2: Convert to fraction form
    77,249.52/106,596 = 48,562.56/x
  3. Step 3: Cross multiply
    77,249.52x = 106,596 × 48,562.56
  4. Step 4: Simplify right side
    77,249.52x = 5,176,574,645.76
  5. Step 5: Solve for x
    x = 5,176,574,645.76/77,249.52
  6. Step 6: Final answer
    x = 67,011.09

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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.