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Finding the Fourth Proportional to 51,391.88, 70,915.38 and 30,177.80

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Solution

The fourth proportional to 51,391.88, 70,915.38 and 30,177.80 is: 41,642.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,391.88 : 70,915.38 = 30,177.80 : x
  2. Step 2: Convert to fraction form
    51,391.88/70,915.38 = 30,177.80/x
  3. Step 3: Cross multiply
    51,391.88x = 70,915.38 × 30,177.80
  4. Step 4: Simplify right side
    51,391.88x = 2,140,070,154.56
  5. Step 5: Solve for x
    x = 2,140,070,154.56/51,391.88
  6. Step 6: Final answer
    x = 41,642.18

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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.