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Finding the Fourth Proportional to 65,034.56, 97,606.56 and 50,283.20

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Solution

The fourth proportional to 65,034.56, 97,606.56 and 50,283.20 is: 75,467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,034.56 : 97,606.56 = 50,283.20 : x
  2. Step 2: Convert to fraction form
    65,034.56/97,606.56 = 50,283.20/x
  3. Step 3: Cross multiply
    65,034.56x = 97,606.56 × 50,283.20
  4. Step 4: Simplify right side
    65,034.56x = 4,907,970,177.79
  5. Step 5: Solve for x
    x = 4,907,970,177.79/65,034.56
  6. Step 6: Final answer
    x = 75,467.11

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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.