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Finding the Fourth Proportional to 73,716, 101,728.89 and 40,182

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Solution

The fourth proportional to 73,716, 101,728.89 and 40,182 is: 55,451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,716 : 101,728.89 = 40,182 : x
  2. Step 2: Convert to fraction form
    73,716/101,728.89 = 40,182/x
  3. Step 3: Cross multiply
    73,716x = 101,728.89 × 40,182
  4. Step 4: Simplify right side
    73,716x = 4,087,670,257.98
  5. Step 5: Solve for x
    x = 4,087,670,257.98/73,716
  6. Step 6: Final answer
    x = 55,451.60

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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.