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Finding the Fourth Proportional to 72,758.78, 100,406.10 and 40,927.68

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Solution

The fourth proportional to 72,758.78, 100,406.10 and 40,927.68 is: 56,479.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,758.78 : 100,406.10 = 40,927.68 : x
  2. Step 2: Convert to fraction form
    72,758.78/100,406.10 = 40,927.68/x
  3. Step 3: Cross multiply
    72,758.78x = 100,406.10 × 40,927.68
  4. Step 4: Simplify right side
    72,758.78x = 4,109,388,730.85
  5. Step 5: Solve for x
    x = 4,109,388,730.85/72,758.78
  6. Step 6: Final answer
    x = 56,479.63

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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.