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Finding the Fourth Proportional to 97,884.60, 146,535.30 and 58,421.40

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Solution

The fourth proportional to 97,884.60, 146,535.30 and 58,421.40 is: 87,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,884.60 : 146,535.30 = 58,421.40 : x
  2. Step 2: Convert to fraction form
    97,884.60/146,535.30 = 58,421.40/x
  3. Step 3: Cross multiply
    97,884.60x = 146,535.30 × 58,421.40
  4. Step 4: Simplify right side
    97,884.60x = 8,560,797,375.42
  5. Step 5: Solve for x
    x = 8,560,797,375.42/97,884.60
  6. Step 6: Final answer
    x = 87,458.06

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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.