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Finding the Fourth Proportional to 53,050.88, 73,212 and 29,178.56

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Solution

The fourth proportional to 53,050.88, 73,212 and 29,178.56 is: 40,267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,050.88 : 73,212 = 29,178.56 : x
  2. Step 2: Convert to fraction form
    53,050.88/73,212 = 29,178.56/x
  3. Step 3: Cross multiply
    53,050.88x = 73,212 × 29,178.56
  4. Step 4: Simplify right side
    53,050.88x = 2,136,220,734.72
  5. Step 5: Solve for x
    x = 2,136,220,734.72/53,050.88
  6. Step 6: Final answer
    x = 40,267.39

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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.