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Finding the Fourth Proportional to 97,452, 145,755.72 and 57,375.51

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Solution

The fourth proportional to 97,452, 145,755.72 and 57,375.51 is: 85,814.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,452 : 145,755.72 = 57,375.51 : x
  2. Step 2: Convert to fraction form
    97,452/145,755.72 = 57,375.51/x
  3. Step 3: Cross multiply
    97,452x = 145,755.72 × 57,375.51
  4. Step 4: Simplify right side
    97,452x = 8,362,808,770.42
  5. Step 5: Solve for x
    x = 8,362,808,770.42/97,452
  6. Step 6: Final answer
    x = 85,814.64

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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.