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Finding the Fourth Proportional to 51,725.88, 77,627.88 and 41,461.56

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Solution

The fourth proportional to 51,725.88, 77,627.88 and 41,461.56 is: 62,223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,725.88 : 77,627.88 = 41,461.56 : x
  2. Step 2: Convert to fraction form
    51,725.88/77,627.88 = 41,461.56/x
  3. Step 3: Cross multiply
    51,725.88x = 77,627.88 × 41,461.56
  4. Step 4: Simplify right side
    51,725.88x = 3,218,573,004.29
  5. Step 5: Solve for x
    x = 3,218,573,004.29/51,725.88
  6. Step 6: Final answer
    x = 62,223.65

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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.