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Finding the Fourth Proportional to 71,827.88, 107,705.76 and 41,851.80

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Solution

The fourth proportional to 71,827.88, 107,705.76 and 41,851.80 is: 62,756.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,827.88 : 107,705.76 = 41,851.80 : x
  2. Step 2: Convert to fraction form
    71,827.88/107,705.76 = 41,851.80/x
  3. Step 3: Cross multiply
    71,827.88x = 107,705.76 × 41,851.80
  4. Step 4: Simplify right side
    71,827.88x = 4,507,679,926.37
  5. Step 5: Solve for x
    x = 4,507,679,926.37/71,827.88
  6. Step 6: Final answer
    x = 62,756.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.