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Finding the Fourth Proportional to 51,517.54, 77,176.03 and 37,984.06

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Solution

The fourth proportional to 51,517.54, 77,176.03 and 37,984.06 is: 56,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,517.54 : 77,176.03 = 37,984.06 : x
  2. Step 2: Convert to fraction form
    51,517.54/77,176.03 = 37,984.06/x
  3. Step 3: Cross multiply
    51,517.54x = 77,176.03 × 37,984.06
  4. Step 4: Simplify right side
    51,517.54x = 2,931,458,954.08
  5. Step 5: Solve for x
    x = 2,931,458,954.08/51,517.54
  6. Step 6: Final answer
    x = 56,902.15

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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.