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Finding the Fourth Proportional to 72,797.43, 100,462.48 and 40,967.47

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Solution

The fourth proportional to 72,797.43, 100,462.48 and 40,967.47 is: 56,536.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,797.43 : 100,462.48 = 40,967.47 : x
  2. Step 2: Convert to fraction form
    72,797.43/100,462.48 = 40,967.47/x
  3. Step 3: Cross multiply
    72,797.43x = 100,462.48 × 40,967.47
  4. Step 4: Simplify right side
    72,797.43x = 4,115,693,658.69
  5. Step 5: Solve for x
    x = 4,115,693,658.69/72,797.43
  6. Step 6: Final answer
    x = 56,536.25

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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.