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Finding the Fourth Proportional to 51,718, 71,380.74 and 33,782.08

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Solution

The fourth proportional to 51,718, 71,380.74 and 33,782.08 is: 46,625.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,718 : 71,380.74 = 33,782.08 : x
  2. Step 2: Convert to fraction form
    51,718/71,380.74 = 33,782.08/x
  3. Step 3: Cross multiply
    51,718x = 71,380.74 × 33,782.08
  4. Step 4: Simplify right side
    51,718x = 2,411,389,869.14
  5. Step 5: Solve for x
    x = 2,411,389,869.14/51,718
  6. Step 6: Final answer
    x = 46,625.74

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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.