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Finding the Fourth Proportional to 71,810.88, 107,716.32 and 34,362.12

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Solution

The fourth proportional to 71,810.88, 107,716.32 and 34,362.12 is: 51,543.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,810.88 : 107,716.32 = 34,362.12 : x
  2. Step 2: Convert to fraction form
    71,810.88/107,716.32 = 34,362.12/x
  3. Step 3: Cross multiply
    71,810.88x = 107,716.32 × 34,362.12
  4. Step 4: Simplify right side
    71,810.88x = 3,701,361,113.80
  5. Step 5: Solve for x
    x = 3,701,361,113.80/71,810.88
  6. Step 6: Final answer
    x = 51,543.18

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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.