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Finding the Fourth Proportional to 53,049, 73,207.62 and 29,177.22

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Solution

The fourth proportional to 53,049, 73,207.62 and 29,177.22 is: 40,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,049 : 73,207.62 = 29,177.22 : x
  2. Step 2: Convert to fraction form
    53,049/73,207.62 = 29,177.22/x
  3. Step 3: Cross multiply
    53,049x = 73,207.62 × 29,177.22
  4. Step 4: Simplify right side
    53,049x = 2,135,994,834.42
  5. Step 5: Solve for x
    x = 2,135,994,834.42/53,049
  6. Step 6: Final answer
    x = 40,264.56

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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.