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Finding the Fourth Proportional to 73,949.63, 102,050.48 and 40,415.63

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Solution

The fourth proportional to 73,949.63, 102,050.48 and 40,415.63 is: 55,773.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,949.63 : 102,050.48 = 40,415.63 : x
  2. Step 2: Convert to fraction form
    73,949.63/102,050.48 = 40,415.63/x
  3. Step 3: Cross multiply
    73,949.63x = 102,050.48 × 40,415.63
  4. Step 4: Simplify right side
    73,949.63x = 4,124,434,031.79
  5. Step 5: Solve for x
    x = 4,124,434,031.79/73,949.63
  6. Step 6: Final answer
    x = 55,773.56

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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.