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Finding the Fourth Proportional to 53,536.55, 73,872 and 29,662.40

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Solution

The fourth proportional to 53,536.55, 73,872 and 29,662.40 is: 40,929.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,536.55 : 73,872 = 29,662.40 : x
  2. Step 2: Convert to fraction form
    53,536.55/73,872 = 29,662.40/x
  3. Step 3: Cross multiply
    53,536.55x = 73,872 × 29,662.40
  4. Step 4: Simplify right side
    53,536.55x = 2,191,220,997.48
  5. Step 5: Solve for x
    x = 2,191,220,997.48/53,536.55
  6. Step 6: Final answer
    x = 40,929.44

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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.