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Finding the Fourth Proportional to 65,144.44, 97,558.71 and 45,097.75

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Solution

The fourth proportional to 65,144.44, 97,558.71 and 45,097.75 is: 67,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,144.44 : 97,558.71 = 45,097.75 : x
  2. Step 2: Convert to fraction form
    65,144.44/97,558.71 = 45,097.75/x
  3. Step 3: Cross multiply
    65,144.44x = 97,558.71 × 45,097.75
  4. Step 4: Simplify right side
    65,144.44x = 4,399,678,313.90
  5. Step 5: Solve for x
    x = 4,399,678,313.90/65,144.44
  6. Step 6: Final answer
    x = 67,537.28

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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.