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Finding the Fourth Proportional to 73,937.68, 102,045.84 and 58,142.08

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Solution

The fourth proportional to 73,937.68, 102,045.84 and 58,142.08 is: 80,245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,937.68 : 102,045.84 = 58,142.08 : x
  2. Step 2: Convert to fraction form
    73,937.68/102,045.84 = 58,142.08/x
  3. Step 3: Cross multiply
    73,937.68x = 102,045.84 × 58,142.08
  4. Step 4: Simplify right side
    73,937.68x = 5,933,157,392.95
  5. Step 5: Solve for x
    x = 5,933,157,392.95/73,937.68
  6. Step 6: Final answer
    x = 80,245.38

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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.