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Finding the Fourth Proportional to 53,057, 73,213.86 and 29,184.68

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Solution

The fourth proportional to 53,057, 73,213.86 and 29,184.68 is: 40,272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,057 : 73,213.86 = 29,184.68 : x
  2. Step 2: Convert to fraction form
    53,057/73,213.86 = 29,184.68/x
  3. Step 3: Cross multiply
    53,057x = 73,213.86 × 29,184.68
  4. Step 4: Simplify right side
    53,057x = 2,136,723,075.66
  5. Step 5: Solve for x
    x = 2,136,723,075.66/53,057
  6. Step 6: Final answer
    x = 40,272.22

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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.