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Finding the Fourth Proportional to 65,627.88, 98,462.54 and 49,908.21

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Solution

The fourth proportional to 65,627.88, 98,462.54 and 49,908.21 is: 74,878.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,627.88 : 98,462.54 = 49,908.21 : x
  2. Step 2: Convert to fraction form
    65,627.88/98,462.54 = 49,908.21/x
  3. Step 3: Cross multiply
    65,627.88x = 98,462.54 × 49,908.21
  4. Step 4: Simplify right side
    65,627.88x = 4,914,089,123.45
  5. Step 5: Solve for x
    x = 4,914,089,123.45/65,627.88
  6. Step 6: Final answer
    x = 74,878.07

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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.