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Finding the Fourth Proportional to 51,920.67, 71,602.68 and 34,662.66

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Solution

The fourth proportional to 51,920.67, 71,602.68 and 34,662.66 is: 47,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,920.67 : 71,602.68 = 34,662.66 : x
  2. Step 2: Convert to fraction form
    51,920.67/71,602.68 = 34,662.66/x
  3. Step 3: Cross multiply
    51,920.67x = 71,602.68 × 34,662.66
  4. Step 4: Simplify right side
    51,920.67x = 2,481,939,351.93
  5. Step 5: Solve for x
    x = 2,481,939,351.93/51,920.67
  6. Step 6: Final answer
    x = 47,802.53

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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.