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Finding the Fourth Proportional to 51,618.54, 77,375.51 and 34,980.25

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Solution

The fourth proportional to 51,618.54, 77,375.51 and 34,980.25 is: 52,434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,618.54 : 77,375.51 = 34,980.25 : x
  2. Step 2: Convert to fraction form
    51,618.54/77,375.51 = 34,980.25/x
  3. Step 3: Cross multiply
    51,618.54x = 77,375.51 × 34,980.25
  4. Step 4: Simplify right side
    51,618.54x = 2,706,614,683.68
  5. Step 5: Solve for x
    x = 2,706,614,683.68/51,618.54
  6. Step 6: Final answer
    x = 52,434.94

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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.