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Finding the Fourth Proportional to 97,452.58, 146,178.87 and 23,580.58

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Solution

The fourth proportional to 97,452.58, 146,178.87 and 23,580.58 is: 35,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,452.58 : 146,178.87 = 23,580.58 : x
  2. Step 2: Convert to fraction form
    97,452.58/146,178.87 = 23,580.58/x
  3. Step 3: Cross multiply
    97,452.58x = 146,178.87 × 23,580.58
  4. Step 4: Simplify right side
    97,452.58x = 3,446,982,538.34
  5. Step 5: Solve for x
    x = 3,446,982,538.34/97,452.58
  6. Step 6: Final answer
    x = 35,370.87

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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.